Geodesic

Sommaire du Fascicule no. 1

Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics
p. 3-17
On straightening the characteristics of a~quasilinear second-order equation
p. 18-25
Operator expansions in the minimal subtraction scheme. I.~The gluing method
p. 26-40
Evolution of a~quantum system subject to continuous measurement
p. 41-52
Off-shell description of two-particle interactions by the boundary condition method
p. 53-60
Off-shell two-particle scattering amplitude in the $P$-matrix approach
p. 61-69
Large-scale fluctuations in bounded plasma-molecular systems
p. 70-85
Green's functions of spiral magnets in the hydrodynamic and quasiparticle approximations
p. 86-100
Free energy of a~many-boson system at low temperatures
p. 101-113
Solution of the Kasteleyn model on a~half-plane
p. 114-123
Kinetic description of collective oscillations in a~system of parametric spin waves. III.~Long-wave collective modes
p. 124-136
Construction of theory of a~binary mixture of nonideal bose gases (or~liquids) by the method of collective variables. III.~Perturbation theory
p. 137-147
Ground state and excitations of a~one-dimensional bose gas on a~finite interval
p. 148-156
A~generalization of the renormalization-group equations for quantum-field theories of arbitrary form
p. 157-160

Sommaire du Fascicule no. 2

Possibility of high-temperature phase transitions due to the many-particle nature of the potential
p. 163-169
Expansions with respect to squares, symplectic and poisson structures associated with the Sturm--Liouville problem.~II
p. 170-186
Inverse scattering problem on a~noncompact graph
p. 187-200
Quantization of non-Abelian antisymmetric tensor field
p. 201-211
Approximate analytic solution of a~quasipotential equation
p. 212-217
Quantization in the neighborhood of a~classical solution in the theory of a~Fermi field
p. 218-225
Massive Gross--Neveu model in the leading order of the~$1/N$ expansion. Allowance for the temperature and the chemical potential
p. 226-233
Borel summation of divergent series in field theory and Wynn's~$\varepsilon$ algorithm
p. 234-244
Coefficient functions of gluon and quark condensates in QCD~sum rules for light vector mesons in the two-loop approximation
p. 245-254
Spontaneous compactification from the point of view of dimensional reduction of gauge fields
p. 255-266
Self-consistent description of spatial structures in one-dimensional quantum systems at finite temperatures
p. 267-274
Interaction range perturbation theory for three-particle problem
p. 275-287
A~method of calculating the partition function of a~system of phonons with allowance for anharmonicit
p. 288-294
Fokker--Planck equation and allowance for quantum fluctuations in the theory of excitons and biexcitons of high density
p. 295-305
Phonon excitations in multicomponent amorphous solids
p. 306-315
Compact relationships between invariants of the unitary groups~$U(n)$ and power sums
p. 316-320

Sommaire du Fascicule no. 3

$2+1$~Toda chain. I.~Inverse scattering method
p. 323-339
B\"acklund transformations of Toda chains
p. 340-352
Structure of topological solitons in the Skyrme model
p. 353-360
$1/N$~expansion in $U(N)\times U(k)$-invariant $N\times k$~matrix chiral models~$(D=2,3)$
p. 361-370
Influence of relaxation on nonlinear waves in crystals
p. 371-377
Conformal invariance in gauge theories. III.~Linear gravitation
p. 378-387
Connection between the Einstein--Maxwell equations and the self-duality equations for gauge fields
p. 388-395
Propagator of Yang--Mills field in light cone gauge
p. 396-402
Path reparametrization in a~path integral on a~finite-dimensional manifold
p. 403-415
Potential scattering in a~homogeneous external electrostatic field
p. 416-430
Quantum few-body problem with internal structure. I.~Two-body problem
p. 431-444
Structure of the equilibrium states of a~class of dynamical systems associated with Lie--Poisson brackets
p. 445-450
Random walks on a~lattice of obstacles
p. 451-464
Phase transition of the first kind with respect to the density in a~model of spontaneous breaking of chiral symmetry
p. 465-472
Probability distribution for trajectories of a~polymer chain segment
p. 473-478