Geodesic

Sommaire du Fascicule no. 1

Quantum Hamiltonian Systems on K-Orbits: Semiclassical Spectrum of the Asymmetric Top
p. 3-13
A Classical Solution of the Pentagon Equation Related to the Group $SL(2)$
p. 14-19
A $q$-Analogue of the Euler Gamma Integral
p. 20-30
A New Integrable Case for the Kirchhoff Equation
p. 31-37
Integrating the Korteweg--de Vries Equation with a Self-Consistent Source and ``Steplike'' Initial Data
p. 38-54
Neutral Fermion Having Electric and Magnetic Moments in an External Electromagnetic Field
p. 55-67
Toward an Infinite-Component Field Theory with a Double Symmetry: Free Fields
p. 68-86
Statistical Algebraic Approach to Quantum Mechanics
p. 87-102
Phase of the Off-Shell Partial Amplitudes
p. 103-105
$\hbar$-Expansion for Bound States Described by the Relativistic Three-Dimensional Two-Particle Quasi-Potential Equation
p. 106-115
Geometric-Dynamic Approach to Billiard Systems: II.~Geometric Features of Involutions
p. 116-130
Interaction Effect of Plane Electromagnetic Waves in the Born--Infeld Nonlinear Electrodynamics
p. 131-139
Hydrodynamic Theory of Sound Wave Propagation
p. 140-152
Causality Principle in the Relativistic Theory of Gravity
p. 153-160

Sommaire du Fascicule no. 2

Lagrangian Chains and Canonical B\"acklund Transformations
p. 163-183
A New Integral Equation Form of Integrable Reductions of the Einstein Equations
p. 184-206
Reduction of $XXZ$ Model with Generalized Periodic Boundary Conditions
p. 207-218
Regular Representations of the Generalized Heisenberg Algebra
p. 219-226
Graf's Addition Theorem Obtained from $SO(3)$ Contraction
p. 227-229
Electric-Magnetic Duality and WDVV Equations
p. 230-238
Dispersionless Limit of Hirota Equations in Some Problems of Complex Analysis
p. 239-257
Integrable Many-Body Systems via the Inosemtsev Limit
p. 258-277
Superbranes and Super Born--Infeld Theories as Nonlinear Realizations
p. 278-297
BRST Operator for Quantum Lie Algebras and Differential Calculus on Quantum Groups
p. 298-316
Continuum Limit of the Triple Tau-Function Model
p. 317-326
Self-Dual Hamiltonians as Deformations of Free Systems
p. 327-332
Quantizing the KdV Equation
p. 333-344
$XXZ$ Spin Chain with the Asymmetry Parameter $\Delta=-1/2$: Evaluation of the Simplest Correlators
p. 345-359
Observables in $2+1$ Gravity and Noncommutative Teichm\"uller Spaces
p. 360-368

Sommaire du Fascicule no. 3

On the 75th Birthday of Academician A.\,A.~Logunov
p. 371-372
Integrable Systems on Phase Spaces with a Nonflat Metric
p. 373-386
Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the $O(n)$-Symmetric $\phi^4$-Theory in the $(4-\epsilon)$-Expansion
p. 387-402
Superfield Quantization in the $Sp(2)$-Covariant Formalism
p. 403-414
Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice
p. 415-431
Two-Time Temperature Green's Functions in Kinetic Theory and Molecular Hydrodynamics: III.~Taking the Interaction of Hydrodynamic Fluctuations into Account
p. 432-463
Ultra-Second Quantization and ``Ghosts'' in Quantized Entropy
p. 464-490
Boundary Problems for a Quantum Fermi Gas
p. 491-502