Reports on Mathematical Physics 

Contents of the Volume 40

Number 1 (August 1997):

S. Iovleff, J. R. León:
High-frequency approximation for the Helmholtz equation: a probabilistic approach, pp. 1-16.
H. A. Mavromatis:
A straightforward mapping of the arbitrary-dimensional Coulomb problem into the isotropic oscillator, pp. 17-19.
W. S. Koon, J. E. Marsden:
The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic system, pp. 21-62.
A. K. Nielsen, E. B. Nielsen:
Quasi-bosons approximate bosons, pp. 63-69.
P. Godlewski:
Generally-covariant and GL(n,R)-invariant model of field of linear frames interacting with a multiplet of complex scalar fields, pp. 71-90.
O. Knill:
On the dynamics of a general unitary operator, pp. 91-95.
B. Momont, A. Verbure:
Algebraic structure of k-mode fluctuations, pp. 97-105.
M. J. Gotay, H. B. Grundling:
On quantizing T*S1, pp. 107-123.
S. Spichak, V. Stogny:
Symmetry analysis of the Kramers equation, pp. 125-130.
J. Kijowski, G. Rudolph, M. Rudolph:
On the algebra of gauge invariants for one-flavour chromodynamics, pp. 131-142.
 
Book review:
 
R. Aldrovandi, J. G. Pereira:
An Introduction to Geometrical Physics (ref. J. Jurkowski R. Mrugała), pp. 143-144.
 

Number 2 (October 1997):

Foreword, pp. 143.
List of participants, pp. 145-148.
O. Arratia, M. A. Del Olmo:
Moyal quantization on the cylinder, pp. 149-157.
S. Berceanu:
A remark on Berezin's quantization and cut locus, pp.159-168.
M. Boľić, D. Arsenović, Z. Marić:
Quantization of magnetic top in the spinor representation, pp. 169-177.
T. Brzeziński:
Qantum homogeneous spaces and coalgebra bundles, pp. 179-185.
G. G. Emch:
Beyond irreducibility and back, pp. 187-193.
J. Grabowski, P. Urbański:
Lie algebroids and Poisson-Nijenhuis structures, pp. 195-208.
J. Hilgert:
Singular unitary highest weight representations via geometric quantization, pp. 209-215.
S. Janeczko:
Hamiltonian geodesics in nonholonomic differential systems, pp. 217-224.
I. Kanatchikov:
On field theoretic generalizations of a Poissin algebra, pp. 225-234.
V. P. Karassiov:
Polynomial Lie algebras and associated pseudogroup structures in composite quantum models, pp. 235-244.
P. Kochański, K. Wódkiewicz:
Operational measurements in quantum mechanics, pp. 245-253.
C.-Y. Lee:
Topological mass generation in nonabelian gauge theory-geometric brst quantization approach, pp. 255-263.
P. Maraner:
A dynamical mechanism for the selection of physical states in 'geometric quantization schemes', pp. 265-271.
E. B. Nielsen, O. R. Jensen, W. Słowikowski:
On exponentials of quadratic expressions of field operators in connection with representation on infinite dimensional Lie groups and algebras, pp. 273-275.
A. Odzijewicz, A. Ryżko:
Coherent states for deformed Jaynes-Cummings model, pp. 277-283.
P. Oh, C. Rim:
The q-deformed oscillator representations and their coherent states of the su(1,1) algebra, pp. 285-293.
R. Picken:
Reflections on topological quantum field theory, pp. 295-303.
W. Piechocki, M. W. Kalinowski:
Prequantization of field theory, pp. 305-311.
B. Piette, W. J. Zakrzewski:
Soliton-like structures in two spatial dimensions and their properties, pp. 313-320.
S. Prvanović, Z. Marić:
Decoherence within the concept of consistent histories, pp. 321-327.
A. Sergeev:
Vortex equations, pp. 329-341.
J. Tolar, P. Trávníček:
Graded contractions of sp(3,R), pp. 343-357.
R. Tomaschitz:
Topological evolution and cosmic chaos, pp. 359-365.
A. Vourdas:
Phase space methods for finite quantum systems, pp. 367-371.
W. Wojtyński:
Lie groups as quotient groups, pp. 373-379.
 
 
Number 3 (December 1997):
 
Foreword, pp. 379.
XXIX Symposium on Mathematical Physics. List of Participants, pp. 381-384.
S. Albeverio, H. Gottschalk, J.-L. Wu:
Remarks on some new models of interacting quantum fields with indefinite metric, pp. 385-394.
M. Błaszak:
R-matrix approach to multi-Hamiltonian Lax dynamics, pp. 395-430.
G. Borgioli, V. Gerasimenko, G. Lauro, R. Monaco:
A discrete velocity model of a gas: Global in time solutions of the BBGKY hierarchy, pp. 431-442.
P. A. Damianou:
Lax pairs, symmetries and recursion operators for Toda lattices, pp. 443-453.
L. Demeio:
Linear stability of the spatially homogeneous equilibria of the Vlasov-Poisson system with collisions, pp. 455-464.
J. Dereziński:
Asymptotic completeness in nonrelativistc quantum field theory, pp. 465-473.
R. L. Fernandes, J. P. Santos:
Integrability of the periodic KM system, pp. 475-484.
J. Garecki:
A superenergetic analysis of the plane and plane-fronted gravitational waves, pp. 485-492.
M. A. Knyazev:
A method for solving nonlinear equations, pp. 493-500.
W. A. Majewski, M. Marciniak:
On nonlinear Koopman's construction, pp. 501-508.
N. C. Pesheva, D. P. Daneva, J. G. Brankov:
Self-organiezed criticality in 1D stochastic traffic flow model, pp. 509-520.
I. Yu. Popov:
On the point and continuous spectra for coupled quantum waveguides and resonators, pp. 521-529.
V. A. Geyler, I. Yu. Popov, S. L. Popova:
Transmission coefficient for ballistic tranport through quantum resonator, pp. 531-538.
A. K. Prykarpatsky, J. A. Zagrodziński, D. L. Blackmore:
Laxtype flows on Grassmann manifolds and dual momentum mappings, pp. 539-549.
M. Yu. Rasulova:
The solution of a chain of quantum kinetic equations of Bogoliubov for Bose systems interacting by delta potential, pp. 551-556.
R. F. Streater:
Nonlinear Heat Equations, pp. 557-564.
J. Kijowski, G. Rudolph, M. Rudolph:
Guage theories in terms of invariants, pp. 565-578.
O. Stoytchev:
Irreducible representations of current algebras in two dimensions, pp. 579-584.
R. Wojnar:
Homogenization of piezoelectric solid and thermodynamics, pp. 585-598.