Reports on Mathematical Physics

Contents of the Volume 38

Number 1 (August 1996):

L. F. Barannik, H. O. Lahno:
Symmetry reduction of the Boussineq equation to ordinary differential equations, pp. 1-9.
A. D. Lewis:
The geometry of the Gibbs-Appell equations and Gauss' principle of least constraint, pp. 11-28.
P. Godlewski:
Generally-covariant and GL(n, R)-invariant model of field of linear frames interacting with complex scalar field, pp. 29-44.
R. Matthes, G. Rudolph, R. Wulkenhaar:
On the structure of a differential algebra used by Connes and Lott, pp. 45-66.
G. Hoffmann:
On the GNS representation of generalized free fields with indefinite metric, pp. 67-83.
G. Hoffmann:
Generalized free field-like U(1)-gauge theories within the Wightman framework, pp. 85-103.
C. Almada:
Harmonic reductions in principal fibre bundles, pp. 105-122.
F. Benatti, H. Narnhofer, A. Uhlmann:
Optimal decompositions of quantum states with respect to entropy, pp. 123-141.

Book review:

G. Gratzer:
Math into LaTeX. An Introduction to LaTeX and AMS-LaTeX (ref. M. R. Michalski), pp. 143-144.

Number 2 (October 1996):

Proceedings of the Symposium
Quantum Groups & Their Application in Physics
October 17-20, 1995
Poznan, Poland
W. Marcinek:
Categories and quantum statistics, pp. 149-174.
Ya. I. Granovskii:
All about displacements, pp. 175-192.
J. Rozanski:
Koszul theorem for S-Lie coalgebras, pp. 193-200.
J.-C. S. Levy:
Transfer matrices in symmetry problems, pp. 201-210.
J. Milewski:
Bargmann representation for q-deformed oscillator, pp. 211-220.
R. Barbier, M. Kibler:
Application of a two-parameter quantum algebra to rotational spectroscopy of nuclei, pp. 221-226.
B. Lulek, T. Lulek:
Braids and the Wigner-Racah calculus, pp. 227-234.
W. Florek:
Magnetic translation groups in n dimensions, pp. 235-250.
K. Grudzinski, B. G. Wybourne:
Symplectic models of n-particle systems, pp. 251-266.
B. Lulek, T. Lulek:
Magnons as indistinguishable hard-core particles on lattices, pp. 267-271.
J. Rozanski:
Braided antisymmetrizer as bialgebra homomorphism, pp. 273-277.
J. Milewski, T. Lulek:
The problem of the diagonal and the evolution operator in the theory of anyons, pp. 279-282.

Number 3 (December 1996):

Proceedings of the
XXVIII Symposium on Mathematical Physics
October 5-8, 1995
Torun, Poland
Yu. M. Berezansky:
A generalization of white noise analysis by means of theory of hypergroups, pp. 289-300.
R. M. Cherniha:
A constructive method for obtaining new exact solutions of nonlinear evolution equations, pp. 301-312.
M. Durdevic:
Quantum principal bundles and Tannaka-Krein duality theory, pp. 313-324.
W. Florek:
Mac Lane method in the investigation of magnetic translation groups, pp. 325-332.
V. A. Geyler:
First Chern class of lattice magneto-Bloch bundles, pp. 333-338.
R. Mrugala:
On Riemannian metric on contact thermodynamics spaces, pp. 339-348.
I. Yu. Popov:
Operator extension theory models for periodic array of quantum dots and double quantum layer in a magnetic field, pp. 349-356.
G. L. Sewell:
Recent developments in macroscopic quantum electrodynamics, pp. 357-373.
J. J. Slawianowski:
U(2,2)-invariant spinorial geometrodynamics, pp. 375-397.
K. Stefanski, K. Someda, H. Nakamura:
Divergences of the semiclassical S-matrix formula in irregular scattering, pp. 399-418.
F. Streater:
Information geometry and reduced quantum description, pp. 419-436.
P. Tuyls:
Quantization: Non-commutative dynamical entropy, pp. 437-442.
A. Prastaro:
(Co)bordisms in PDEs and quantum PDEs, pp. 443-455.
L. Accardi, M. Ohya, N. Watanabe:
Note on quantum dynamical entropies, pp. 457-469.
M. Szydlowski, J. Tobola:
The local instability of simple relativistic systems, pp. 471-483.