Geodesic

Sommaire du Fascicule no. 1

On the spectrum of the two-dimensional periodic Dirac operator
p. 3-14
Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomoment.~II
p. 15-39
Continuum limit in the fermionic hierarchical model
p. 40-50
Travel time of a quantum particle through a given domain
p. 51-66
On the Wilson criterion
p. 67-73
Extension theory approach to scattering and annihilation in the $\bar pd$ system
p. 74-94
Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model
p. 95-104
Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: I. The chain of equations for the irreducible functions
p. 105-125
Relativistic theory of gravity and a torsion field
p. 126-132
High-symmetry Hopfield-type neural networks
p. 133-158
International Bogoliubov Conference Fundamental Problems in Theoretical and Mathematical Physics
p. 159-160

Sommaire du Fascicule no. 2

On derivations of the Heisenberg algebra
p. 163-189
Weyl algebras over quantum groups
p. 190-204
Outer automorphisms of $sl(2)$, integrable systems, and mappings
p. 205-216
Integrable lattices
p. 217-228
A relativistic particle in the Liouville field
p. 229-247
Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces
p. 248-263
Photocounts in the system ``source--field--detector''
p. 264-273
Quantum beats of light polarizations induced by anisotropic relaxation: A system with angular momentum~3/2
p. 274-286
Quantum hydrodynamics of particle systems with Coulomb interaction and quantum Bohm potential
p. 287-304
Fluctuation-dissipation theorem for composite operators in critical-dynamics models
p. 305-310
Gravitational field of a flat scalar wave in the relativistic theory of gravity
p. 311-316
On a partial solution in general relativity theory
p. 317-320

Sommaire du Fascicule no. 3

Exactly solvable models in mathematical physics.
Factorization of analytic matrix-valued functions
p. 324-336
Reflectionless sine-Gordon potentials with an infinite spectrum
p. 337-346
On the spectrum of the Laplacian with frequently alternating boundary conditions
p. 347-353
Structural instability of a soliton for the Davey--Stewartson~II equation
p. 354-361
Exactly solvable models in supersymmetric quantum mechanics and connection with spectrum-generating algebras
p. 362-374
Resonance layers in the interactions of rapidly oscillating wave fields
p. 375-382
On the two-scale method for the problem of perturbed one-frequency oscillations
p. 383-389
Perturbation of a singular solution to the Liouville equation
p. 390-397
On matrix generalizations of the dilogarithm
p. 398-404
Fundamental mathematical structures of integrable models
p. 405-412
Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation
p. 413-422
Construction of a new class of quantum integrable inhomogeneous models
p. 423-433
Perturbation of a two-soliton solution of the Korteweg--de~Vries equation in the case of close amplitudes
p. 434-440
Geometry and multidimensional soliton equations
p. 441-451
Bethe equations ``on the wrong side of the equator''
p. 452-461
Perturbation of a shock wave
p. 462-466
An extension of the Hirota bilinear difference equation
p. 467-478
A three-dimensional quantum integrable mapping
p. 479-487
Path-integral formulation of backward and UMKLAPP scattering for one-dimensional spinless fermions
p. 488-496