Reports on Mathematical Physics


Contents of the Volume 45


Number 1 (February 2000):

L. F. Barannyk and B. Kloskowska:
On symmetry reduction and invariant solutions to some nonlinear multidimensional heat equations, pp. 1-22.
G. Corach and A. L. Maestripieri:
Differential geometry on Thompson's components of positive operators, pp. 23-37.
J.-P. Antoine, A. Inoue and H. Ogi:
Standard generalized vector and *-automorphism groups of partial O*-algebras, pp. 39-66.
X. Gracia:
Fibre derivatives: some applications to singular lagrangians, pp. 67-84.
A. Echeverría-Enríquez, M. C. Muñoz-Lecanda and N. Román-Roy:
On the multimomentum bundles and the Legendre maps in field theories, pp. 85-105.
H. Narnhofer:
Time reversibility for modular K-systems, pp. 107-120.
D. Chruœciñski:
Symplectic reduction of p-form electrodynamics, pp. 121-137.
A. Dvureèenskij, P. Lahti and K. Ylinen:
Positive operator measures determinated by their moment sequences, pp. 139-146.
M. Puta and C. Pop:
Control and stability in the kinematic model of an automobile with n-3 trailers, pp. 147-154.
 

Number 2 (April 2000):

G. S. Asanov:
Conformal property of the Finsler space FSR and extension of electromagnetic field equations, pp. 155-169.
V. Majerník:
Marginal probability distribution determined by the maximum entropy method, pp. 171-181.
J. K. Lawson:
A frame bundle generalization of multisymplectic geometries, pp. 183-205.
I. Yu. Popov:
Zero-range potential model for a waveguide in photonic crystal, pp. 207-216.
G. Gorni and G. Zampieri:
Time reversibility and energy conservation for Lagrangian systems with nonlinear nonholonomic constraints, pp. 217-227.
T. S. Tsun and I. P. Zois:
Geometry of the nonabelian 2-index potential and twisted de Rham cohomology, pp. 229-237.
H. Narnhofer and W. Thirring:
Realizations of two-sided quantum K-systems, pp. 239-256.
C. Athanasiadis, G. Costakis, I.G. Stratis:
On some properties of Beltrami fields in chiral media, pp. 257-271.
R. Zhdanov, O. Roman:
On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models, pp. 273-291.
A. Odzijewicz and A. M. Grundland:
The superposition principle for the Lie type first-order PDEs, pp. 293-306.


Number 3 (June 2000):

S. Albeverio and V. Koshmanenko:
On Schroedinger operators perturbed by fractal potentials, pp. 307-326.
H. Grudziñski and J. Hirsch:
The convex structure of the cone of N-fermion positive-semidefinite 1-particle operators, pp. 327-332.
A. Kishimoto:
Locally representable one-parameter automorphism groups of AF algebras and KMS states, pp. 333-356.
W. M. Tulczyjew and P. Urbañski:
Differential forms on vector bundles, pp. 357-370.
S. Bugajski, S. Gudder and S. Pulmannova:
Convex effect algebras, and ordered linear spaces, pp. 371-388.
H. E. Brandt:
Particle geodesics and spectra in the spacetime tangent bundle, pp. 389-405.
A. Uhlmann:
On ``partial" fidelities, pp. 407-418.
S. Albeverio, G. Kondratiev, R. A. Minlos and G. V. Shchepan'uk:
Ground state euclidean measures for quantum lattice systems on compact manifolds, pp. 419-429.
C. R. De Oliveira and M. V. Lima:
A nonprimitive substitution Schroedinger operator with generic singular continuous spectrum, pp. 431-436.

BOOK REVIEW
WILLIAM E. BAYLIS: Electrodynamics: A Modern Geometric Approach (ref. Andrzej Jamio³kowski), p. 437
Index, pp. 439-440.