§ 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.

Drei-Alpha-Zerfall von $C^{{12*}}(16,11MeV)$
P Kramer
Z. Naturforsch. 16 a (1961) 1245
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
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
Verallgemeinerte Dalitz-Diagramme in der Niederenergie-Kernphysik
D Dehnhard D Kamke and P Kramer
Phys. Lett. 3 (1962) 52
Symmetrieangepasste Funktionen fuer ein System aus drei Teilchen verschiedener Masse
P Kramer
Z. Naturforsch. 18 a (1963) 260
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
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
Eine Reaktionskammer zur Messung komplexer Kernreaktionen
D Dehnhard and P. Kramer
Nucl. Instr. Meth. 26 (1964) 337
Symmetriegruppen eines einfachen Dreiteilchensystems
P Kramer
Annalen der Physik 15 (1965) 278
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
Group theory of harmonic oscillators (III). States with permutational symmetry
P Kramer and M Moshinsky
Nucl. Phys. 82 (1966) 241-273
$U_{3}$ symmetry and clustering in the harmonic oscillator shell model
P Kramer
Phys. Lett. 21 (1966) 182-184
Factorization of projection operators for the symmetric group
P Kramer
Z. Naturforsch. 21 a (1966) 657
Energy levels of the four nucleon system
P Kramer and M Moshinsky
Phys. Lett. 23 (1966) 547
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
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
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
Orbital fractional parentage coefficients for the harmonic oscillator shell model
P Kramer
Z. Physik 205 (1967) 181
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
Studies in the nuclear cluster model (II). Two-cluster configurations
P Kramer and T H Seligman
Nucl. Phys. A 136 (1969) 545
Recoupling coefficients of the symmetric group for shell and cluster model configurations
P Kramer
Z. Phys. 216 (1968) 68
Group theory of harmonic oscillators (V). The harmonic oscillator shell model
P Kramer and M Moshinsky
Nucl. Phys. A 215 (1969) 321
Origin of Regge symmetry for Wigner coefficients of $SU(2)$
P Kramer and T H Seligman
Z. Physik 219 (1969) 105
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
Group theory and the supermultiplet scheme
P Kramer
in: Clustering Phenomena in Nuclei, IAEA, Vienna 1969
On general transformation brackets for harmonic oscillator states
P Kramer
Rev. Mexicana de Fisica 19 (1970) 241-252
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
Studies in the nuclear cluster model (III). k-cluster configurations
P Kramer and T H Seligman
Nucl. Phys. A 186 (1972) 49
Oscillator fractional parentage and supermultiplet expansion for states of light nuclei
P Kramer and D Schenzle
Nucl. Phys. A 204 (1973) 593
Supermultiplet expansion and effective interactions in the nuclear p-shell
G John and P Kramer
Nucl. Phys. A 204 (1973) 203
Cluster representations and rotational states
J Beam P Kramer and K Wildermuth
Particles and Nuclei 5 (1973) 145
Some applications of canonical transformations in Bargmann Hilbert space
P Kramer and D Schenzle
Rev. Mexicana de Fisica 22 (1973) 25
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
Symmetries of cluster configurations
P Kramer
in: Clustering Phenomena in Nuclei II, Proc. Second Int. Conf., Maryland 1975
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
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
Nonbijective canonical transformations and their representation in quantum mechanics
P Kramer M Moshinsky and T H Seligman
J. Math. Phys. 19 (1978) 683
Semigroups of length increasing transformations
M Brunet and P Kramer
Rep. Math. Phys. 16 (1979) 9
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
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
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
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
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
Effects of the Pauli principle for nucleons in a classical phase space
B Boll and P Kramer
Physica 114 A (1982) 463
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
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
Semi-coherent states and the group $ISp(2,R)$
P Kramer and M Saraceno
Physica 114 A (1982) 448
The unitary group $U(3)$ in nuclear composite particle reactions
R Bader and P Kramer
Physica 114 A (1982) 306
Symmetriestrukturen der Physik
P Kramer
Die Naturwissenschaften 69 (1982) 114-122
Non-periodic central space filling with icosahedral symmetry using copies of seven elementary cells
P Kramer
Acta Cryst. A 38 (1982) 257-264
On the theory of collective motion in nuclei I. Classical theory
P Kramer
Ann. Phys.(N.Y.) 141 (1982) 254
On the theory of collective motion in nuclei II. Quantum theory
P Kramer
Ann. Phys.(N.Y.) 141 (1982) 269
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
Time-dependent variational description of $\alpha-\alpha$ scattering
M Saraceno P Kramer and F Fernandez
Nucl. Phys. A 405 (1983) 88-108
A geometric classical model of collective motion in nuclei
P Kramer Z Papadopolos and P Kramer
Nucl. Phys. A 431 (1984) 75-89
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
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
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
Moment maps, symplectic manifolds, coherent states applied to nuclear collective motion
P Kramer
J. de Phys. Suppl. au no.6 (1984) 79-86
The lowest energy state for a polynomial Hamiltonian and its geometric interpretation
W Schweizer and P Kramer
J Phys. A 17 (1984) 3169-3182
The $U(3)$ principle causes nuclear molecular resonances
R Bader and P Kramer
Nucl. Phys. A 441 (1985) 174-188
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
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
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
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
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
Generating kernels for the boson realization of symplectic algebras
O Castanos P Kramer and M Moshinsky
J.Phys. A 18 (1985) 493-498
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
Nichtperiodische Kristalle mit fuenfzaehliger Symmetrie
P Kramer
Phys. Bl. 41 (1985) 103-104
On the theory of a non-periodic quasilattice associated with the icosahedral group
P Kramer
Z. Naturforsch. 40 a (1985) 775-788
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
Some answers but more questions
A L Mackay and P Kramer
Nature 316 (1985) 17-18
Diffraction and layer structure of a quasilattice
P Kramer and L Kramer
Z. Naturforsch. 40 a (1985) 1162-1163
Quasilattices in $E^{3}$ and their projection from lattices in $E^{n}$
P Kramer
J. de Phys. Coll. C 3 (1986) 75-81
On the theory of a non-periodic quasilattice associated with the icosahedral group II
P Kramer
Z. Naturforsch. 41 a (1986) 897-911
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
Quasikristalle
K Urban P Kramer und M Wilkens
Phys. Bl. 42 (1986) 373-378
Continuous rotation from cubic to icosahedral order
P Kramer
Acta Cryst. A 43 (1987) 486-489
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
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
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
”'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
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
Atomic order in quasicrystals is supported by several unit cells
P Kramer
Mod. Phys. Lett. B 1 (1987) 7-18
Non-periodic translational order in quasicrystals with stable atomic density on several cells
P. Kramer
Int. J. Mod. Phys. B 1 (1987) 145-166
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
Space-group theory for a non-periodic icosahedral quasilattice
P Kramer
J. Math. Phys. 29 (1988) 516-524
Bravais classification of non-periodic quasilattices on the line
P Kramer
Mod. Phys. Lett. B 2 (1988) 605-611
From quasicrystals to crystals: an illustrative example
P Kramer and U Thomas
Int. J. Mod. Phys. B 2 (1988) 273-286
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
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
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
$N$ -dimensional crystallography applied to quasicrystals
P Kramer
Z. f. Kristallographie 185 (1988) 90
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
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
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
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
Structure factors for icosahedral quasicrystals
P Kramer and D Zeidler
Acta Cryst. A 45 (1989) 524-533
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
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
Root lattices and quasicrystals
M Baake D Joseph P Kramer and M Schlottmann
J. Phys. A 23 (1990) L1037-41
Makroskopische Quasikristalle
H R Trebin und P Kramer
Phys. Bl. 46 (1990) 18-19
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
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
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
Quasicrystals
P Guyot P Kramer and M de Boissieu
Reports on Progress in Physics 54 (1991) 1373-1425
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
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-
On the relation between decagonal and icosahedral quasicrystals
A Knupfer and P Kramer
Mod. Phys. Lett. B 5 (1991) 1543-51
Studies on the cell structure of quasicrystals
P Kramer
Phase Trans. 44 (1993) 195-206
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
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
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
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
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
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
Algebraic structures for 1D quasiperiodic systems
P Kramer
J. Phys. ${\bf A26}$ (1993) 213-228
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
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
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
Fricke-Klein geometry for the group Sl(2,C)
P Kramer
J. Phys. Lett. ${\bf A26}$ (1993) L245-L250
Modelling of quasicrystals
P Kramer
Physica Scripta ${\bf T49}$ (1993) 343-348
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
The Mosseri-Sadoc tilings derived from the root lattice $D_{6}$
P Kramer and Z Papadopolos
Canad. J. Phys. ${\bf 72}$ (1993) to appear
Substitutional sequences for 2D quasiperiodic patterns
J Garcia-Escudero and P Kramer
Proc. Third Int. Wigner Symp., Oxford (1993)
Automorphisms of free groups and quasicrystals
P Kramer and J Garcia-Escudero
Proc. Third Int. Wigner Symp., Oxford (1993)
From the weight lattice $D_{6}^{R}$ to quasiperiodic tilings
Z Papadopolos M Baake R Klitzing and P. Kramer
Proc. Third Int. Wigner Symp., Oxford (1993)
Involutive generators and actions for the group $\Phi _{2}$
P Kramer
J. Phys. ${\bf A27}$ (1994) 2011-22
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
Diffusion in 2D Quasi-Crystals
D Joseph M Baake P Kramer and H R Trebin
Europhys. Lett. ${\bf 27}$ (1994) 451-456
Projection of the Danzer tilings
P Kramer Z Papadopolos M Schlottmann and D Zeidler
J. Phys. ${\bf A27}$ (1994) 4505-4517
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
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
Generators and subgroups for $Aut(F_{3})$
P Kramer
J. Phys. ${\bf A28}$ (1995) 379-389
Geometry of automorphisms for free groups
P Kramer
in: Symmetries in Science VIII, Ed. B. Gruber, Plenum Press, New York 1995
Non-Euclidean crystallography
M Lorente and P Kramer
in: Symmetries in Science VIII, Ed. B. Gruber, Plenum Press, New York 1995, 315-329
Phonon-spectrum of an F-type icosahedral quasicrystal
H Simon, M Baake and P Kramer
Z. Physik ${\bf B}$ (1995) 509-512
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
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
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
Fibonacci orbits and $SU(2)$ dynamics
H Wagner and P Kramer
J. Phys. ${\bf A28}$ (1995) 2563–2580
Decomposition of plane waves into irreducible representations of space groups
H Teuscher and P Kramer
Z. Naturf. ${\bf 50}$ (1995) 1001-1007
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
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
Space groups on the quantum torus
P Kramer
J. Phys. ${\bf A28}$ (1995) 6405-15
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
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
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
Quasikristalle - ungew”ohnliche Physik in hochgeordneten Strukturen
P Kramer
Phys. Bl. ${\bf 51}$ (1995) 954-5
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
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
Local electronic properties of the Burkov model
in: Aperiodic `94, Eds. G Chapuis and W Paciorek, World Scientific, Singapore 1995, p. 207-211
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
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
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
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
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
Non-Euclidean crystallography
M Lorente and P Kramer
in: Symmetries in Science VIII, Ed. B. Gruber, Plenum, New York 1995, p. 315-329
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
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
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
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
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
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
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
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
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
Energy gauge and electron confinement in quasicrystals
P Kramer
J. Phys. A 31 (1998) 743-56
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
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
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
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)
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
Quasicrystals: Atomic coverings and windows are dual projects
P Kramer
J. Phys. A 32 (1999) 5781-5793
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)
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
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
Delone Clusters, Covering and Linkage in the Quasiperiodic Triangle Tiling
P Kramer
J. Phys. A 33 (2000) 7885-7901
Delone clusters and coverings for icosahedral quasicrystals
P Kramer
J. Phys. A 34 (2001) 1885-1902
The double torus as a 2D cosmos: Geometry, groups, and closed geodesics
P Kramer and M Lorente
J. Phys. A 35 (2002) 1961-1981
Inflation and wavelets for the icosahedral Danzer tiling
P Kramer and M Andrle
J. Phys. A 37 (2004) 3443-3457
Surface embedding, topology and dualization for spin networks
P Kramer and M Lorente
J. Phys. A 35 (2002) 8563-8574
Covering presentation and coloring of dual canonical tilings
P Kramer
Struct. Chem. 13 (2002) 315-319
Coverings in the structure of quasicrystals
P Kramer
in: Quasicrystals, Structure and Physical Properties,
Ed. H.-R. Trebin, Wiley-VCH, Weinheim 2003, 105-117
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
Group actions on compact hyperbolic manifolds and closed geodesics
P Kramer
CRM Proceedings and Lecture Notes 34 (2004) 113-124
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
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
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
An invariant operator due to F. Klein quantizes H. Poincarés dodecahedral 3-manifold
P Kramer
J. Phys. A: Math. Gen. 38 (2005) 3517-40
Harmonic polynomials on the Poincaré dodecahedral 3-manifold
P Kramer
J. of Geometry and Symmetry in Physics 6 (2006) 55-66
Quasiperiodic systems
P Kramer
in: Encyclopedia of Mathematical Physics, Eds. J.-P. Francoise, G. L. Naber, Sh. Tsun Tsou, Elsevier, Amsterdam (2006), 308-315
Quasicrystals
U Grimm and P Kramer
in: Untitled, Springer 2008
Ed. R de Weygaert, Groningen, Netherlands
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
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
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
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
Platonic polyhedra tune the 3-sphere: Harmonic analysis on simplices.
P Kramer
Phys. Scr. 79 (2009) 045008
arXiv:0810.3403
Platonic polyhedra tune the 3-sphere: II. Harmonic analysis on cubic spherical 3-manifolds.
P Kramer
Phys. Scr. 80 (2009) 025902
arXiv:0901.0511
Discrete quantum gravity.
M Lorente and P Kramer
in: Libro-homenaje al Prof. M G Doncel, ed. J R Monivas, Barcelona, 2009
Platonic polyhedra tune the 3-sphere: III. Harmonic analysis on octahedral spherical 3-manifolds.
P Kramer
arXiv:0908.1000v1
Platonic topology and CMB fluctuations: Homotopy, anisotropy, and multipole selection rules.
P Kramer
arXiv:0909.2758