Peter Kramer

§ Publications

Prof. Dr. phil. Peter Kramer,
Institut für Theoretische Physik der Universität,
Auf der Morgenstelle 14, 72076 Tübingen
Germany

§ Monographs.

  • Group Theory and the Interaction of Composite Nucleon Systems
    P Kramer G John and D Schenzle
    Vieweg Braunschweig 1981

  • Geometry of the Time-dependent Variational Principle in Quantum Mechanics
    P Kramer and M Saraceno
    Lecture Notes in Physics 140, Springer Berlin 1981

§ Book editions.

  • Proc. VI. Int. Coll. Group Theor. Meth. in Physics, Tuebingen 1977,
    Lecture Notes in Physics 79, Berlin 1978
    Ed. P Kramer and A Rieckers

  • Groups, Systems and Many-Body Physics
    Eds. P Kramer and M Dal Cin
    Vieweg, Braunschweig 1980

  • A Unified Theory of the Nucleus
    K Wildermuth and Y C Tang
    Series Clustering Phenomena in Nuclei Vol. 1
    Eds. K Wildermuth and P Kramer
    Vieweg, Braunschweig 1977

  • Clusters as Subsystems in Light Nuclei
    V Kukulin V G Neudatchin I T Obukhovski and Yu F Smirnov
    Direct Cluster Reactions - Progress Towards a Unified Theory
    D F Jackson
    Series Clustering Phenomena in Nuclei Vol. 3
    Eds. K Wildermuth and P Kramer
    Vieweg, Braunschweig 1983

  • Proc. 7th Int. Conf. Quasicrystals
    Eds. F Gaehler, P Kramer, H-R Trebin, K Urban
    Mater. Sci. Eng. A 294-296
    Elsevier, Amsterdam 2000

  • Covering of Discrete Quasiperiodic Sets: Theory and Applications to Quasicrystals. Springer Tracts in Modern Physics vol. 180
    Eds. P Kramer and Z Papadopolos
    Springer Tracts in Modern Physics, Berlin 2003

§ Publications.

  1. Drei-Alpha-Zerfall von C^{{12*}}(16,11MeV)
    P Kramer
    Z. Naturforsch. 16 a (1961) 1245

  2. Evidence for three alpha particle break-up of C^{{12*}}(16.11MeV)
    D Dehnhard D Kamke and P Kramer
    in: Proc. Rutherford Jub. Int. Conf. Manchester 1961

  3. Energieverlust und Reichweite von \alpha-Teilchen in Bor im Energiebereich von 0.2 bis 5.3 MeV
    P Kramer and D Kamke
    Z. Physik 168 (1962) 465

  4. Verallgemeinerte Dalitz-Diagramme in der Niederenergie-Kernphysik
    D Dehnhard D Kamke and P Kramer
    Phys. Lett. 3 (1962) 52

  5. Symmetrieangepasste Funktionen fuer ein System aus drei Teilchen verschiedener Masse
    P Kramer
    Z. Naturforsch. 18 a (1963) 260

  6. Bemerkung zu der Arbeit: Desintegration (\alpha-Be^{8}) du Niveau 16.11 MeV 2^{+} du C^{{12}}, Phys. Lett. 9 (1964) 171
    D Dehnhard D Kamke and P Kramer
    Phys. Lett. 12 (1964) 113

  7. Der Zerfall von Kohlenstoff 12 in drei \alpha-Teilchen bei der Kernreaktion B^{{11}}(p,\alpha)2\alpha
    D Dehnhard D Kamke and P Kramer
    Annalen der Physik 14 (1964) 201-220

  8. Eine Reaktionskammer zur Messung komplexer Kernreaktionen
    D Dehnhard and P. Kramer
    Nucl. Instr. Meth. 26 (1964) 337

  9. Symmetriegruppen eines einfachen Dreiteilchensystems
    P Kramer
    Annalen der Physik 15 (1965) 278

  10. Angular momenta and Pauli principle in nuclear reactions a+A\rightarrow C^{*}\rightarrow b_{1}+b_{2}+b_{3}
    P Kramer
    Rev. Mod. Phys. 37 (1965) 346

  11. Group theory of harmonic oscillators (III). States with permutational symmetry
    P Kramer and M Moshinsky
    Nucl. Phys. 82 (1966) 241-273

  12. U_{3} symmetry and clustering in the harmonic oscillator shell model
    P Kramer
    Phys. Lett. 21 (1966) 182-184

  13. Factorization of projection operators for the symmetric group
    P Kramer
    Z. Naturforsch. 21 a (1966) 657

  14. Energy levels of the four nucleon system
    P Kramer and M Moshinsky
    Phys. Lett. 23 (1966) 547

  15. Irreducible representations of the semi-direct product group K_{n}=A_{n}:S_{n} and the harmonic oscillator shell model
    P Kramer
    J. Math. Phys. 9 (1968) 639

  16. Group theory of harmonic oscillators and nuclear structure
    P Kramer and M Moshinsky
    in: Group Theory and its Application, Ed. E M Loebl, 340-468, Academic Press, New York 1968

  17. Group theory of harmonic oscillators (IV). Dynamics of the 2, 3, and 4 particle systems
    P Kramer and M Moshinsky
    Nucl. Phys. A 107 (1968) 481-522

  18. Orbital fractional parentage coefficients for the harmonic oscillator shell model
    P Kramer
    Z. Physik 205 (1967) 181

  19. Studies in the nuclear cluster model (I). Matrix elements in the supermultiplet scheme
    P Kramer and T H Seligman
    Nucl. Phys. A 123 (1969) 161

  20. Studies in the nuclear cluster model (II). Two-cluster configurations
    P Kramer and T H Seligman
    Nucl. Phys. A 136 (1969) 545

  21. Recoupling coefficients of the symmetric group for shell and cluster model configurations
    P Kramer
    Z. Phys. 216 (1968) 68

  22. Group theory of harmonic oscillators (V). The harmonic oscillator shell model
    P Kramer and M Moshinsky
    Nucl. Phys. A 215 (1969) 321

  23. Origin of Regge symmetry for Wigner coefficients of SU(2)
    P Kramer and T H Seligman
    Z. Physik 219 (1969) 105

  24. Harmonic-oscillator states and the \alpha-particle II. Configuration-space states of arbitrary symmetry
    V C Aguilera-Navarro P Kramer and M Moshinsky
    Ann. of Physics (N.Y.) 54 (1969) 379

  25. Group theory and the supermultiplet scheme
    P Kramer
    in: Clustering Phenomena in Nuclei, IAEA, Vienna 1969

  26. On general transformation brackets for harmonic oscillator states
    P Kramer
    Rev. Mexicana de Fisica 19 (1970) 241-252

  27. Permutation group in light nuclei
    P Kramer
    in: Proc. XV Solvay Congress on Symmetry Properties of Nuclei, Brussels 1970, 211-229, Gordon and Breach, New York 1974

  28. Studies in the nuclear cluster model (III). k-cluster configurations
    P Kramer and T H Seligman
    Nucl. Phys. A 186 (1972) 49

  29. Oscillator fractional parentage and supermultiplet expansion for states of light nuclei
    P Kramer and D Schenzle
    Nucl. Phys. A 204 (1973) 593

  30. Supermultiplet expansion and effective interactions in the nuclear p-shell
    G John and P Kramer
    Nucl. Phys. A 204 (1973) 203

  31. Cluster representations and rotational states
    J Beam P Kramer and K Wildermuth
    Particles and Nuclei 5 (1973) 145

  32. Some applications of canonical transformations in Bargmann Hilbert space
    P Kramer and D Schenzle
    Rev. Mexicana de Fisica 22 (1973) 25

  33. Complex extension of canonical transformations and quantum mechanics
    P Kramer M Moshinsky and T H Seligman
    in: Group Theory and its Applications vol. 3, Ed. E M Loebl, 250-332 Academic Press, New York 1975

  34. Symmetries of cluster configurations
    P Kramer
    in: Clustering Phenomena in Nuclei II, Proc. Second Int. Conf., Maryland 1975

  35. Finite representations of the unitary group and their applications in many-body physics
    P Kramer
    in: Group Theor. Meth. in Physics, Ed. R T Sharp, New York 1977

  36. Composite particles and symplectic (semi-)groups
    P Kramer
    in: Group Theor. Meth. in Physics, Eds. P Kramer and A Rieckers,
    Lecture Notes in Physics 79, Springer, Berlin 1978

  37. Nonbijective canonical transformations and their representation in quantum mechanics
    P Kramer M Moshinsky and T H Seligman
    J. Math. Phys. 19 (1978) 683

  38. Semigroups of length increasing transformations
    M Brunet and P Kramer
    Rep. Math. Phys. 16 (1979) 9

  39. Complex extension of the representation of the symplectic group associated with the canonical commutation relations
    M Brunet and P Kramer
    Rep. Math. Phys. 17 (1980) 205-215

  40. Group theory and the interaction of composite nucleon systems
    P Kramer
    in: Symmetries in Science, Eds. B Gruber and R S Millman, Plenum, New York 1980, 177-188

  41. Symplectic structures in nuclear many-body systems
    P Kramer and M Saraceno
    in: Proc. Seminar Group Theor. Meth. in Physics, Ed. V I Manko, Moscow 1980

  42. Geometry of the time-dependent variational principle in quantum mechanics
    P Kramer and M Saraceno
    in: Proc. IX Int. Coll. Group Theor. Meth. in Physics, Ed. K B Wolf, Lecture Notes in Physics 135, Springer, Berlin 1980

  43. Collective motion, composite particle structure, and symplectic groups in nuclei
    P Kramer and Z Papadopolos
    in: Proc. IX Int. Coll. Group Theor. Meth. in Physics, Ed. K B Wolf, Lecture Notes in Physics 135, Springer, Berlin 1980

  44. Effects of the Pauli principle for nucleons in a classical phase space
    B Boll and P Kramer
    Physica 114 A (1982) 463

  45. The Pauli principle for two particles in a dequantization scheme based on coherent states
    B Boll and P Kramer
    Z. Naturforsch. 38 a (1983) 1049-1053

  46. Orbits in phase space under the direct product of the collective and intrinsic group U(3)\times U(n)
    P Kramer and Z Papadopolos
    Physica 114 A (1982) 309

  47. Semi-coherent states and the group ISp(2,R)
    P Kramer and M Saraceno
    Physica 114 A (1982) 448

  48. The unitary group U(3) in nuclear composite particle reactions
    R Bader and P Kramer
    Physica 114 A (1982) 306

  49. Symmetriestrukturen der Physik
    P Kramer
    Die Naturwissenschaften 69 (1982) 114-122

  50. Non-periodic central space filling with icosahedral symmetry using copies of seven elementary cells
    P Kramer
    Acta Cryst. A 38 (1982) 257-264

  51. On the theory of collective motion in nuclei I. Classical theory
    P Kramer
    Ann. Phys.(N.Y.) 141 (1982) 254

  52. On the theory of collective motion in nuclei II. Quantum theory
    P Kramer
    Ann. Phys.(N.Y.) 141 (1982) 269

  53. On the theory of collective motion in nuclei III. From Hamiltonian dynamics to vortex-free fluidity
    P Kramer Z Papadopolos and W Schweizer
    Ann. Phys. (N.Y.) 149 (1983) 44-57

  54. Time-dependent variational description of \alpha-\alpha scattering
    M Saraceno P Kramer and F Fernandez
    Nucl. Phys. A 405 (1983) 88-108

  55. A geometric classical model of collective motion in nuclei
    P Kramer Z Papadopolos and P Kramer
    Nucl. Phys. A 431 (1984) 75-89

  56. On periodic and non-periodic space fillings of E^{m} obtained by projection
    P Kramer and R Neri
    Acta Cryst. A 40 (1984) 580-587

  57. Geometric properties of the lowest energy state for a polynomial Hamiltonian
    W Schweizer and P Kramer
    in: Proc. XII Int. Coll. Group Theor. Meth. in Physics, Trieste 1984, Lecture Notes in Physics 201, Eds. H Araki et al., 508-510, Berlin 1984

  58. Is it possible to separate the kinetic energy and the velocity field into a collective and an intrinsic part w.r.t. the Gl_{+}(3,R) collectivity?
    Z Papadopolos and P Kramer
    in: Proc. XII Int. Coll. Group Theor. Meth. in Physics, Trieste 1984, Lecture Notes in Physics 201, Eds. H Araki et al., 368-370, Berlin 1984

  59. Moment maps, symplectic manifolds, coherent states applied to nuclear collective motion
    P Kramer
    J. de Phys. Suppl. au no.6 (1984) 79-86

  60. The lowest energy state for a polynomial Hamiltonian and its geometric interpretation
    W Schweizer and P Kramer
    J Phys. A 17 (1984) 3169-3182

  61. The U(3) principle causes nuclear molecular resonances
    R Bader and P Kramer
    Nucl. Phys. A 441 (1985) 174-188

  62. On the microscopic realisation of the CM(3) or MQC model for nuclear collective motion
    Z Papadopolos and P Kramer
    J Phys. A 18 (1986) 2653-2673

  63. Hilbert spaces of analytic functions and representations of the positive discrete series of Sp(6,R)
    P Kramer and Z Papadopolos
    J Phys. A 19 (1986) 1083-1092

  64. A quantum model of collective motion in nuclei and its dequantization
    P Kramer Z Papadopolos and W Schweizer
    Nucl. Phys. A 441 (1985) 461-477

  65. A class of unitary representations of the Lie group Sp(3,R), its coherent states, and its map to a symplectic realization on Sp^{*}(3,R)
    P Kramer Z Papadopolos and W Schweizer
    J. Math. Phys. 27 (1986) 24-28

  66. Orbits and coherent states of the symplectic group and collective theory
    P Kramer Z Papadopolos and W Schweizer
    in: Phase space approach to nuclear dynamics, Ed. M di Toro et al., World Scientific, Singapore 1986

  67. Generating kernels for the boson realization of symplectic algebras
    O Castanos P Kramer and M Moshinsky
    J.Phys. A 18 (1985) 493-498

  68. Boson realization of Sp(4,R) II. The generating kernel formulation
    O Castanos P Kramer and M Moshinsky
    J. Math. Phys. 27 (1986) 924-935

  69. Nichtperiodische Kristalle mit fuenfzaehliger Symmetrie
    P Kramer
    Phys. Bl. 41 (1985) 103-104

  70. On the theory of a non-periodic quasilattice associated with the icosahedral group
    P Kramer
    Z. Naturforsch. 40 a (1985) 775-788

  71. Non-periodic quasicrystals: Theory and experiment
    P Kramer
    Proc. Int. Conf. on Group Theor. Meth. in Physics, Seoul 1985, Ed. Y M Cho, 394-397, World Scientific, Singapore 1986

  72. Some answers but more questions
    A L Mackay and P Kramer
    Nature 316 (1985) 17-18

  73. Diffraction and layer structure of a quasilattice
    P Kramer and L Kramer
    Z. Naturforsch. 40 a (1985) 1162-1163

  74. Quasilattices in E^{3} and their projection from lattices in E^{n}
    P Kramer
    J. de Phys. Coll. C 3 (1986) 75-81

  75. On the theory of a non-periodic quasilattice associated with the icosahedral group II
    P Kramer
    Z. Naturforsch. 41 a (1986) 897-911

  76. Grundgedanken zur Symmetrie im Werk von Johannes Kepler
    P Kramer
    in: Symmetrie in Kunst, Natur und Wissenschaft, Ausstellung Mathildenhoehe Darmstadt, Katalog Band 1, 115-127, 1986

  77. Quasikristalle
    K Urban P Kramer und M Wilkens
    Phys. Bl. 42 (1986) 373-378

  78. Continuous rotation from cubic to icosahedral order
    P Kramer
    Acta Cryst. A 43 (1987) 486-489

  79. Polyhedra of three quasilattices associated with the icosahedral group
    R W Haase L Kramer P Kramer and H Lalvani
    Acta Cryst. A 43 (1987) 574-587

  80. Group/subgroup techniques and the structure of quasicrystals
    P Kramer
    in: Proc. XV. Int. Conf. Diff. Geometric Meth. in Theor. Phys., Clausthal 1986, Eds. H D Doebner and J D Hennig, 423-437, World Scientific, Singapore 1987

  81. Dynamical symmetry in nuclear collective and reaction physics
    P Kramer
    in: Symmetries and Semiclassical Features of Nuclear Dynamics, Ed. A Raduta, 120-134, Lecture Notes in Physics 279, Springer 1987

  82. ”'Das Pentagramma macht Dir Pein?”', Violation of periodic symmetry in quasicrystals
    P Kramer
    in: Proc. XV Int. Coll. Group Theor. Meth. in Physics, Philadelphia 1986, Ed. R Gilmore, 146-161, World Scientific, Singapore 1987

  83. Symplectic decomposition of reaction channels
    P Kramer and Z Papadopolos
    in: Proc. XV Int. Coll. Group Theor. Meth. in Physics, Philadelphia 1986, Ed. R Gilmore, 391-398, World Scientific, Singapore 1987

  84. Atomic order in quasicrystals is supported by several unit cells
    P Kramer
    Mod. Phys. Lett. B 1 (1987) 7-18

  85. Non-periodic translational order in quasicrystals with stable atomic density on several cells
    P. Kramer
    Int. J. Mod. Phys. B 1 (1987) 145-166

  86. A new approach to non-periodic order in solids
    P Kramer
    in: Proc. XVI. Int. Coll. Group Theor. Meth. in Physics, Varna 1987, Eds. H D Doebner and R D Palev, 370-376

  87. Space-group theory for a non-periodic icosahedral quasilattice
    P Kramer
    J. Math. Phys. 29 (1988) 516-524

  88. Bravais classification of non-periodic quasilattices on the line
    P Kramer
    Mod. Phys. Lett. B 2 (1988) 605-611

  89. From quasicrystals to crystals: an illustrative example
    P Kramer and U Thomas
    Int. J. Mod. Phys. B 2 (1988) 273-286

  90. Quasicrystals: from periodic to non-periodic order in solids
    P Kramer
    in: Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics, Eds. A Amann et al., 73-91, Kluwer, Dordrecht 1988

  91. Group theory of icosahedral quasicrystals
    P Kramer and R W Haase
    in: Aperiodic Crystals vol. 2, Ed. M Jaric, 81-146, Academic Press, New York 1988

  92. What are the cells of a quasicrystal?
    P Kramer
    in: Quasicrystalline Materials, Proc. Ill/CODEST Workshop Grenoble 1988, Eds. Ch Janot and J M Dubois, 246-271, World Scientific, Singapore 1988

  93. N-dimensional crystallography applied to quasicrystals
    P Kramer
    Z. f. Kristallographie 185 (1988) 90

  94. The Fibonacci quasicrystal reconsidered: variety of energy spectra for continuous Schroedinger equations with simple potentials
    U Thomas and P Kramer
    Int. J. Mod. Phys. B 8 (1989) 1205-1235

  95. On the cell structure for non-periodic long-range order in solids
    P Kramer
    in: Quasicrystals and Incommensurate Structures in Condensed Matter, Eds. J M Yacaman et al., 20-49, World Scientific, Singapore 1990

  96. The vertices of the ideal 3D icosahedral quasicrystal
    M Baake S I Ben-Abraham P Kramer and M Schlottmann
    in: Quasicrystals and Incommensurate Structures in Condensed Matter, Eds. J M Yacaman et al., 85-95, World Scientific, Singapore 1990

  97. Dualization of Voronoi domains and klotz construction: a general method for the generation of proper space filling
    P Kramer and M Schlottmann
    J. Phys. A 22 (1989) L1097-L1102

  98. Structure factors for icosahedral quasicrystals
    P Kramer and D Zeidler
    Acta Cryst. A 45 (1989) 524-533

  99. The triangle pattern - a new quasiperiodic tiling with fivefold symmetry
    M Baake P Kramer M Schlottmann and D Zeidler
    Mod. Phys. Lett. B 4 (1990) 249-258

  100. Planar patterns with fivefold symmetry as sections of periodic structures in 4-space
    M Baake P Kramer M Schlottmann and D Zeidler
    Int. J. Mod. Phys. B 4 (1990) 2217-68
    condensed version in: Quasicrystals, Networks, and Molecules of Fivefold Symmetry, Ed. I. Hargittai, 127-157, VCH Publishers, Weinheim 1990

  101. Root lattices and quasicrystals
    M Baake D Joseph P Kramer and M Schlottmann
    J. Phys. A 23 (1990) L1037-41

  102. Makroskopische Quasikristalle
    H R Trebin und P Kramer
    Phys. Bl. 46 (1990) 18-19

  103. Group theory for non-periodic long-range order in quasicrystals
    P Kramer
    in: Symmetries in Science III, Eds. B Gruber and F Iachello, 225-241, Plenum, New York 1990

  104. Theoretical aspects of non-periodic order in quasicrystals
    P Kramer
    in: Disordered Systems and New Materials, Eds. M Borissov N Kirov and A Vavrek, 323-336, World Scientific, Singapore 1989

  105. Symmetries of icosahedral quasicrystals
    P Kramer Z Papadopolos and D Zeidler
    in: Symmetries in Science V: Algebraic Structures, their Representations, Realizations and Physical Application, Ed. B Gruber LC Biedenharn and H D Doebner, 395-427, Plenum 1991

  106. Quasicrystals
    P Guyot P Kramer and M de Boissieu
    Reports on Progress in Physics 54 (1991) 1373-1425

  107. The root lattice D_{6} and icosahedral quasicrystals
    P Kramer Z Papadopolos and D Zeidler
    in: Group Theory in Physics, AIP Conf. Proc. 266, Eds. A Frank, T H Seligman and K B Wolf, 179-200, New York 1992

  108. The Schur rotation as a simple approach to the transition between quasiperiodic and periodic phases
    M Baake D Joseph and P Kramer
    J. Phys. A 24 (1991) L961-

  109. On the relation between decagonal and icosahedral quasicrystals
    A Knupfer and P Kramer
    Mod. Phys. Lett. B 5 (1991) 1543-51

  110. Studies on the cell structure of quasicrystals
    P Kramer
    Phase Trans. 44 (1993) 195-206

  111. Transitions between quasiperiodic and periodic phases by one-parameter Schur rotations
    M Baake D Joseph and P Kramer
    in: Crystal-Quasicrystal Transitions, Eds. M Torres and M J Yacaman, Elsevier 1993, 173-191

  112. Electronic states of the continuous Schrödinger equation for the Fibonacci chain
    D Joseph M Baake and P Kramer
    J. Non-Cryst. Solids 153,154 (1993) 394-7

  113. Regular and defective vertex configurations in icosahedral structures
    S I Ben-Abraham M Baake A Joseph P Kramer and M Schlottmann
    J. Non-Cryst. Solids 153,154 (1993) 132-6

  114. Schur rotations, transitions between quasiperiodic and periodic phases, and rational approximants
    P Kramer M Baake and D Joseph
    J. Non-Cryst. Solids 153,154 (1993) 650-3

  115. The F-type icosahedral phase: tilings and vertex models
    Z Papadopolos P Kramer and D Zeidler
    J. Non-Cryst. Solids 153,154 (1993) 215-20

  116. Periodic clustering in the spectrum of quasiperiodic Kronig-Penney models
    M Baake D Joseph and P Kramer
    Phys. Lett. {\bf A\, 186} (1992) 199-208

  117. Algebraic structures for 1D quasiperiodic systems
    P Kramer
    J. Phys. {\bf A26} (1993) 213-228

  118. Non-commutative crystallography applied to quasicrystals
    P Kramer
    Anales de Fisica, Monografias, vol. 2, 370-3, M. A. del Olmo, M. Santander, Eds., CIEMAT/RSEF, Madrid 1993

  119. Non-commutative models for ADE root lattices
    J Garcia-Escudero and P Kramer
    Anales de Fisica, Monografias, vol. 1, 339-42, M. A. del Olmo, M. Santander, Eds., CIEMAT/RSEF, Madrid 1993

  120. Free groups, their automorphism groups, applications
    P Kramer
    in: Symmetries in Science VI, Eds. B. Gruber, H.D. Doebner, F. Iachello, Plenum 1993, 415-430

  121. Fricke-Klein geometry for the group Sl(2,C)
    P Kramer
    J. Phys. Lett. {\bf A26} (1993) L245-L250

  122. Modelling of quasicrystals
    P Kramer
    Physica Scripta {\bf T49} (1993) 343-348

  123. An interpretation of 2D quasiperiodic patterns in terms of automorphisms of free groups
    J Garcia-Escudero and P Kramer
    J. Phys. Lett. {\bf A26} (1993) L1029-L1035

  124. The Mosseri-Sadoc tilings derived from the root latticeD_{6}
    P Kramer and Z Papadopolos
    Canad. J. Phys. {\bf 72} (1993) to appear

  125. Substitutional sequences for 2D quasiperiodic patterns
    J Garcia-Escudero and P Kramer
    Proc. Third Int. Wigner Symp., Oxford (1993)

  126. Automorphisms of free groups and quasicrystals
    P Kramer and J Garcia-Escudero
    Proc. Third Int. Wigner Symp., Oxford (1993)

  127. From the weight latticeD_{6}^{R}to quasiperiodic tilings
    Z Papadopolos M Baake R Klitzing and P. Kramer
    Proc. Third Int. Wigner Symp., Oxford (1993)

  128. Involutive generators and actions for the group\Phi _{2}
    P Kramer
    J. Phys. {\bf A27} (1994) 2011-22

  129. Classification of local configurations in quasicrystals
    M Baake S I Ben-Abraham R Klitzing P Kramer and M Schlottmann
    Acta Cryst. {\bf A50} (1994) 553-66

  130. Diffusion in 2D Quasi-Crystals
    D Joseph M Baake P Kramer and H R Trebin
    Europhys. Lett. {\bf 27} (1994) 451-456

  131. Projection of the Danzer tilings
    P Kramer Z Papadopolos M Schlottmann and D Zeidler
    J. Phys.{\bf A27} (1994) 4505-4517

  132. Non-Commutative Models for Quasicrystals
    P Kramer and J Garcia-Escudero
    in: Beyond Quasicrystals, Eds. F. Axel and D. Gratias, Springer, Berlin 1995, p. 55-73

  133. Atomic Clusters and Electrons in the Burkov Model of AlCuCo
    P Kramer A Quandt M Schlottmann and T Schneider
    Phys. Rev. {\bf B51} (1995) 8815

  134. Generators and subgroups for Aut(F_{3})
    P Kramer
    J. Phys. {\bf A28} (1995) 379-389

  135. Geometry of automorphisms for free groups
    P Kramer
    in: Symmetries in Science VIII, Ed. B. Gruber, Plenum Press, New York 1995

  136. Non-Euclidean crystallography
    M Lorente and P Kramer
    in: Symmetries in Science VIII, Ed. B. Gruber, Plenum Press, New York 1995, 315-329

  137. Phonon-spectrum of an F-type icosahedral quasicrystal
    H Simon, M Baake and P Kramer
    Z. Physik {\bf B} (1995) 509-512

  138. Models of icosahedral quasicrystals from 6D lattices
    Z Papadopolos and P Kramer
    in: Aperiodic 94, Proc. Int. Conf. Aperiodic Crystals, Eds. G. Chapuis and W Paciorek, World Scientific, Singapore 1995, p. 70-76

  139. Dynamical properties of F-type icosahedral tilings
    H Simon, M Baake and P. Kramer
    in: Aperiodic 94, Proc. Int. Conf. Aperiodic Crystals, Eds. G. Chapuis and W Paciorek, World Scientific, Singapore 1995, p. 174-7

  140. Local electronic properties of the Burkov model
    P Kramer, A Quandt, M Schlottmann and T Schneider
    in: Aperiodic 94, Proc. Int. Conf. Aperiodic Crystals, Eds. G. Chapuis and W Paciorek, World Scientific, Singapore 1995, p. 207-211

  141. Fibonacci orbits and SU(2) dynamics
    H Wagner and P Kramer
    J. Phys. {\bf A28} (1995) 2563–2580

  142. Decomposition of plane waves into irreducible representations of space groups
    H Teuscher and P Kramer
    Z. Naturf. {\bf 50} (1995) 1001-1007

  143. Generation of 3D icosahedral quasicrystals by matching phases in physical space
    C Hohneker, P Kramer, Z Papadopolos and R V Moody
    in: Proc. 5th Int. Conf. Quasicrystals, Avignon 1995, Eds. Ch. Janot and R. Mosseri, World Scientific, Singapore 1995, p. 112-115

  144. Non-commutative geometry for quasicrystals
    P Kramer
    in: Aperiodic 94, Proc. Int. Conf. Aperiodic Crystals, Eds. G. Chapuis and W. Paciorek, World Scientific, Singapore 1995, p. 59-69

  145. Space groups on the quantum torus
    P Kramer
    J. Phys. {\bf A28} (1995) 6405-15

  146. Break-down of translational symmetry in quasicrystals
    P Kramer
    in: Proc. Int. Conf. Quasicrystals, Avignon 1995, Eds. Ch. Janot and R. Mosseri, World Scientific, Singapore 1996, p. 39-42

  147. Simulation of Mößbauer absorption spectra for decagonal AlCuCo
    A Quandt, P Kramer and T Schneider
    in: Proc. 5th Int. Conf. Quasicrystals, Avignon 1995, Eds. Ch. Janot and R. Mosseri, World Scientific, Singapore 1995, p. 212-215

  148. Defective vertices in perfect icosahedral quasicrystals
    M Baake, S I Ben-Abraham, D Joseph, P Kramer and M Schlottmann
    Acta Cryst. {\bf A51} (1995) 587-8

  149. Quasikristalle - ungew”ohnliche Physik in hochgeordneten Strukturen
    P Kramer
    Phys. Bl. {\bf 51} (1995) 954-5

  150. Symmetry concepts for quasicrystals and noncommutative crystallography
    P Kramer and Z Papadopolos
    Proc. ASI Aperiodic Long Range Order, Waterloo 1995, Ed. R.V. Moody, Kluwer, New York 1995, p. 307-330

  151. Atomic clusters and electrons in the Burkov model of AlCuCo
    P Kramer, A Quandt, M Schlottmann and T Schneider
    Phys. Rev.{\bf B\, 51} (1995) 8815-29

  152. Local electronic properties of the Burkov model
    in: Aperiodic `94, Eds. G Chapuis and W Paciorek, World Scientific, Singapore 1995, p. 207-211

  153. Dynamical properties of F-type icosahedral tilings
    H Simon, M Baake, and P Kramer
    in: Aperiodic `94, Eds. G Chapuis and W Paciorek, World Scientific, Singapore 1995, p. 25-29

  154. Simulation of Mössbauer absorption spectra for decagonal AlCuCo
    P Kramer, A Quandt, Th Schneider and H Teuscher
    Phys. Rev. {\bf B\, 55}(1997) 8793-8800

  155. Tubular structure in \alpha-rhombohedral quasicrystals: ab initio study of two fused boron icosahedra
    L Boustani, A Quandt und P Kramer
    Europhys. Lett. {\bf 36} (1996) 583-588

  156. Generation of 3D icosahedral quasicrystals by matching phases in physical space
    C Hohneker, P Kramer, Z Papadopolos and R V Moody
    in: Proc. 5th Int. Conf. Quasicrystals, Eds. C. Janot and R. Mosseri, World Scientific, Singapore 1995, p. 112-115

  157. Canonical icosahedral quasilattices for the F-phase generated by coherent phases in physical space
    C Hohneker, P Kramer, Z Papadopolos and R V Moody
    J Phys {\bf A\; 30}(1997) 6493-6507

  158. Non-Euclidean crystallography
    M Lorente and P Kramer
    in: Symmetries in Science VIII, Ed. B. Gruber, Plenum, New York 1995, p. 315-329

  159. Automorphisms and discrete fiber bundles
    P Kramer, U Beck and S I Ben-Abraham
    in: Symmetries in Science IX, Ed. B. Gruber and M. Ramek, Plenum, New York 1997, p. 179-192

  160. Tiles-inflation for the canonical tiling {\cal T}^{{*(2F)}}
    C Hohneker, P Kramer and Z Papadopolos
    in: Phys. Appl. and Math. Aspects of Geometry, Groups and Algebras vol.2 1997, Eds. H.D. Doebner, W. Scherer and C. Schulte, World Scientific, Singapore, p. 982

  161. New generators for Aut(F_{n}).
    P Kramer
    in: Phys. Appl. and Math. Aspects of Geometry, Groups and Algebras vol.2 1997, Eds. H.D. Doebner, W. Scherer and C. Schulte, World Scientific, Singapore, p. 959-961

  162. Atomic Positions for the icosahedral F-phase tiling.
    Z Papadopolos, P Kramer and W Liebermeister
    in: Proc. 6th Int. Conf. Quasicrystals 1997, Eds. S. Takeuchi and T. Fujiwara, World Scientific, Singapore 1998, p. 71-76

  163. Local electronic structure of decagonal quasicrystals.
    R Haerle, P Kramer, A Quandt and H Teuscher
    in: Proc. 6th Int. Conf. Quasicrystals 1997, Eds. S. Takeuchi and T. Fujiwara, World Scientific, Singapore 1998, p. 680-83

  164. Discrete and continuous symmetry via induction and duality
    P Kramer and M Lorente
    in: Symmetries in Science X, Ed. B. Gruber, Plenum, New York 1998, p. 165-177

  165. Induced representations of the Poincare group on the lattice: Spin 1/2 and 1 case
    M Lorente and P Kramer
    in: Symmetries in Science X, Ed. B. Gruber, Plenum, New York 1998, p. 179-195

  166. Atomic positions for the icosahedral F-phase tiling
    Z Papadopolos, P Kramer and W Liebermeister
    in: Aperiodic `97, Eds. M. de Boissieu, J.-L. Verger-Gaugry and R. Currat, World Scientific, Singapore 1998, 173-181

  167. Local DOS and Mössbauer properties for AlCuCo.
    R Haerle, P Kramer and H Teuscher
    in: Aperiodic `97, Eds. M. de Boissieu, J.-L. Verger-Gaugry and R. Currat, World Scientific, Singapore 1998, 769-773

  168. Energy gauge and electron confinement in quasicrystals
    P Kramer
    J. Phys. A 31 (1998) 743-56

  169. Copper tubules and local origin of a pseudogap in d-AlCuCo from ab-initio calculations
    R Härle and P Kramer
    Phys. Rev. B 58 (1998) 716-20

  170. Exact electron states in 1D (quasi-) periodic arrays of delta potentials
    P Kramer and T Kramer
    in: From Quasicrystals to More Complex Systems, Les Houches 1998, Eds. F. Axel, F. Denoyer, J. P. Gazeau, EDP Sciences Les Ulis, Springer Berlin 2000, 85-114

  171. Tiling theory applied to the surface structure of icosahedral AlPdMn quasicrystals
    P Kramer Z Papadopolos and H Teuscher
    J. Phys. C 11 Condens. Matter (1999) 2729-2728

  172. Surface structure of i-AlPdMn: An analysis based on the {\cal T}^{{*(2F)}} tiling decorated by Bergman polytopes
    G Kasner Z Papadopolos P Kramer and D E Bürgler
    submitted to Phys. Rev. B (1999)

  173. Representations of the discrete inhomogeneous Lorentz group and Dirac wave equation on the lattice
    M Lorente and P Kramer
    J. Phys. A 32 (1999) 2481-2497

  174. Quasicrystals: Atomic coverings and windows are dual projects
    P Kramer
    J. Phys. A 32 (1999) 5781-5793

  175. The decagon covering project: Center positions and linkage graphs.
    P Kramer
    in: Proc. Math. Aspects of Quasicrystals, Eds. J. P. Gazeau and J.-L. Verger-Gaugry (1999)

  176. The Cover Story: Fibonacci, Penrose, Kepler
    P Kramer
    in: Proc. 7th Int. Conf. Quasicrystals 1999, Mater. Sci. Eng. A 294-296
    Eds. F. Gaehler, P. Kramer, H.-R. Trebin and K. Urban, Elsevier, Amsterdam (2000), 401-404

  177. From Quasiperiodic Tilings with \tau-Inflation to \tau-Wavelets
    J P Gazeau and P Kramer
    in: Proc. 7th Int. Conf. Quasicrystals 1999, Mater. Sci. Eng. A 294-296
    Eds. F. Gaehler, P. Kramer, H.-R. Trebin and K. Urban, Elsevier, Amsterdam (2000), 425-428

  178. Delone Clusters, Covering and Linkage in the Quasiperiodic Triangle Tiling
    P Kramer
    J. Phys. A 33 (2000) 7885-7901

  179. Delone clusters and coverings for icosahedral quasicrystals
    P Kramer
    J. Phys. A 34 (2001) 1885-1902

  180. The double torus as a 2D cosmos: Geometry, groups, and closed geodesics
    P Kramer and M Lorente
    J. Phys. A 35 (2002) 1961-1981

  181. Inflation and wavelets for the icosahedral Danzer tiling
    P Kramer and M Andrle
    J. Phys. A 37 (2004) 3443-3457

  182. Surface embedding, topology and dualization for spin networks
    P Kramer and M Lorente
    J. Phys. A 35 (2002) 8563-8574

  183. Covering presentation and coloring of dual canonical tilings
    P Kramer
    Struct. Chem. 13 (2002) 315-319

  184. Coverings in the structure of quasicrystals
    P Kramer
    in: Quasicrystals, Structure and Physical Properties,
    Ed. H.-R. Trebin, Wiley-VCH, Weinheim 2003, 105-117

  185. Wavelets in the structure and physics of quasicrystals
    P Kramer
    in: Quasicrystals, Structure and Physical Properties,
    Ed. H.-R. Trebin, Wiley-VCH, Weinheim 2003, 118-122

  186. Group actions on compact hyperbolic manifolds and closed geodesics
    P Kramer
    CRM Proceedings and Lecture Notes 34 (2004) 113-124

  187. Interaction and fusion of Dirac particles
    P Kramer
    in: Proc. 8th Int Conf on Squeezed States and Uncertainty Relations,
    Eds. H Moya-Cessa, R Jauregui, S Hacyan and O Castanos, Rinton Press, Princeton 2003, 203-209

  188. Interaction and fusion of elementary systems
    P Kramer
    in: Symmetries in Science XIII, Eds. B. J. Gruber et al. (2004),
    Kluwer, Dordrecht 2004, 291-315

  189. Tensor and spin representations of SO(4) and discrete quantum gravity
    M Lorente and P Kramer
    in: Symmetries in Science XIII, Eds. B. J. Gruber et al. (2004)
    Kluwer, Dordrecht 2004, 377-394

  190. An invariant operator due to F. Klein quantizes H. Poincarés dodecahedral 3-manifold
    P Kramer
    J. Phys. A: Math. Gen. 38 (2005) 3517-40

  191. Harmonic polynomials on the Poincaré dodecahedral 3-manifold
    P Kramer
    J. of Geometry and Symmetry in Physics 6 (2006) 55-66

  192. Quasiperiodic systems
    P Kramer
    in: Encyclopedia of Mathematical Physics, Eds. J.-P. Francoise, G. L. Naber, Sh. Tsun Tsou, Elsevier, Amsterdam (2006), 308-315

  193. Quasicrystals
    U Grimm and P Kramer
    in: Untitled, Springer 2008
    Ed. R de Weygaert, Groningen, Netherlands

  194. A review of the time-dependent variational principle in quantum mechanics.
    P Kramer
    in: Blaubeuren 2007 Papers, Journal of Physics: Conference Series (Open access),
    Eds. M Kleber and T Kramer,
    http://www.iop.org/EJ/toc/1742-6596/99/1

  195. Discrete Quantum gravity I. Zonal spherical functions of the representations of the SO(4,R) group with respect to the SU(2) subgroup and their application to the Euclidean invariant Barrett-Crane model.
    P Kramer and M Lorente
    arXiv:0810.3403

  196. Discrete Quantum gravity II. Simplicial complexes, irreps of SL(2,C), and a Lorentz invariant weight in a state sum model.
    P Kramer and M Lorente
    arXiv:0804.4162

  197. Propagation in time of some classical/quantum systemms and Nielsen's conserved quantity.
    P Kramer, T Kramer, and V I Man'ko
    Phys. Scr. 79 (2009) 055006

  198. Platonic polyhedra tune the 3-sphere: Harmonic analysis on simplices.
    P Kramer
    Phys. Scr. 79 (2009) 045008
    arXiv:0810.3403

  199. Platonic polyhedra tune the 3-sphere: II. Harmonic analysis on cubic spherical 3-manifolds.
    P Kramer
    Phys. Scr. 80 (2009) 025902
    arXiv:0901.0511

  200. Discrete quantum gravity.
    M Lorente and P Kramer
    in: Libro-homenaje al Prof. M G Doncel, ed. J R Monivas, Barcelona, 2009

  201. Platonic polyhedra tune the 3-sphere: III. Harmonic analysis on octahedral spherical 3-manifolds.
    P Kramer
    arXiv:0908.1000v1

  202. Platonic topology and CMB fluctuations: Homotopy, anisotropy, and multipole selection rules.
    P Kramer
    arXiv:0909.2758