Reports on Mathematical Physics


Contents of the Volume 43


Number 1/2 (February/April 1999):

Foreword, pp. 3.
List of participants, pp. 7-12.
J.-P. Antoine, P. Vandergheynst:
Wavelets on the 2-sphere and related manifolds, pp. 13-24.
S. Berceanu:
Coherent states, line bundles and divisors, pp. 25-33.
F. Bourgeois, M. Cahen:
Can one define a preferred symplectic connection?, pp. 35-42.
J. F. Carińena, C. López:
Group theoretical perturbative treatment of nonlinear hamiltonians on the dual of a Lie algebra, pp. 43-51.
L. Carminati, B. Iochum, D. Kastler, T. Schücker:
Relativity, noncommutative geometry, renormalization and particle physics, pp. 53-71.
S. Chumakov, A. B. Klimov, C. Saavedra:
Coherent structures in quantum optical models with dissipation, pp. 73-81.
J. Czyż:
Is the "drunken sinusoid" a soliton solution?, pp. 82-92.
S. De Biévre, J. Renaud:
Massless qft on (1+1)-de Sitter space-time, pp. 93-100.
G. Fiore:
Embedding q-deformed Heisenberg algebras into undeformed ones, pp. 101-108.
J. Fischer:
Summation of power series in particle physics, pp. 109-122.
P. Furlan, L. K. Hadjiivanov:
From chiral to two-dimensional Wess-Zumino-Novikov-Witten model via quantum gauge group, pp. 123-136.
M. Irac-Astaud, G. Rideau:
From Bargmann representations to deformed harmonic oscillator algebras, pp. 137-145.
D. A. Kalinin:
On quantization of polynomial momentum observables, pp. 147-155.
I. V. Kanatchikov:
De Donder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory, pp. 157-170.
A. Kempf:
On the three short-distance structure which can be described by linear operators, pp. 171-177.
R. Kerner, V. Abramov:
On certain realizations of the q-deformed exterior differential calculus, pp. 179-194.
I. L. Kirilyuk, L. E. Kon'kov, S. V. Prants:
Dynamical complexity in quantum-optical model with a simple Lie-algebraic structure, pp. 195-205.
A. N. Leznov, E. A. Yuzbashyan:
Integrable mappings for noncommutative objects, pp. 207-214.
J. Lukierski, P.C. Stichel, W.J. Zakrzewski:
(2+1)-dimensional models with a Chern-Simons-like term and noncommutative geometry, pp. 215-229.
J. Madore:
On poisson structure and curvature, pp. 231-238.
W. Marcinek:
Particles and quantum symmetries, pp. 239-245.
O. Mokhov:
Compatible Poisson structures of hydrodynamic type and the equations of associativity in two-dimensional topological field theory, pp. 247-256.
I. Mykytiuk:
Geometric quantization: Hilbert space structure on the space of generalized sections, pp. 257-266.
Y.A. Neretin:
A remark on the boson-fermion correspondence, pp. 267-269.
P. Oh:
Bogomol'nyi solitons and Hermitian symmetric spaces, pp. 271-281.
A. Orłowski:
Wehrl's entropy and classification of states, pp. 283-289.
M. Pflaum:
Deformation quantization on cotangent bundles, pp. 291-297.
W. Piechocki:
Topology of solutions to the Liouville equation, pp. 299-301.
M. Pletyukhov, E. Tolkachev:
Hurwitz transformation and oscillator representation of a 5D "isospin" particle, pp. 303-311.
O. Radko:
A bicovariant differential algebra of a quantum group, pp. 313-322.
M. Schlichenmaier:
Sugawara construction for higher genus Riemann surfaces, pp. 323-339.
B. Torrésani:
Two signal processing problems involving coherent states methods, pp. 341-356.
A. Yoshioka:
A remark on the contact structure on Weyl manifold and Fedosov connection, pp. 357-366.
 

Number 3 (June 1999):

W. Bajguz, A. K. Kwaśniewski:
On hyperbolic quasinumbers and Chebyshev-like functions, pp. 367-376.
J. Garecki:
Canonical superenergetic quantities for Friedman universes, pp. 377-392.
Y. I. Granovskii:
The microscopic theory of phase transitions, pp. 393-405.
V. P. Belavkin:
Measurement, filtering and control in quantum open dynamic systems, pp. 405-425.
I. Yu. Popov:
Asymptotics of bound state for laterally coupled waveguides, pp. 427-437.
G. S. Asanov:
Finsler space FPD of positive-definite type gives rise to a lenticular extension of Maxwell's distribution law, pp. 437-465.
G. Cassinelli, E. De Vito, A. Levrero:
Galilei invariant wave equations, pp. 467-498.
D. Dorninger, H. Länger, M. Mączyński:
On ring-like structures induced by Mackey's probability function, pp. 499-515.


BOOK REVIEW
R. Alicki, M. Bożejko, W. A. Majewski (Eds.):

Quantum Probability, pp. 517.
Index, pp. 519-520.