Geodesic

Sommaire du Fascicule no. 1

Blowup of a~positive-energy solution of model wave equations in nonlinear dynamics
p. 3-17
Differential operators commuting in the~principal part
p. 18-25
Bi-Hamiltonian ordinary differential equations with matrix variables
p. 26-32
Nonperturbative solutions in the~electroweak theory
p. 33-43
Discrete spectrum of Hamiltonians of some quantum system models
p. 44-64
Semiclassical approximation of the~Dirac equation in a~central field
p. 65-78
A~map between the~Coulomb and the~harmonic oscillator systems in a~higher-dimensional space
p. 79-86
Dissipation evidence for the~quantum damped harmonic oscillator via pseudo-bosons
p. 87-95
Resolvents and Seiberg--Witten representation for a~Gaussian $\beta$-ensemble
p. 96-115
Statistical approach to the~Jaynes--Cummings model
p. 116-123
Spectral dependence of the~localization degree in the~one-dimensional disordered Lloyd model
p. 124-134
Mode-coupling approximation in a~fractional-power generalization: Particle dynamics in supercooled liquids and glasses
p. 135-149
The~structure of the~integral of motion and the~impossibility of gravitational collapse
p. 150-153
The~generalized uncertainty principle and the~entropy of the~Schwarzschild--anti-de~Sitter black hole with a~global monopole due to spin fields
p. 154-161
Can quantum effects due to a~massless conformally coupled field avoid gravitational singularities?
p. 162-176

Sommaire du Fascicule no. 2

Limit relation between Toda chains and the~elliptic $SL(N,\mathbb C)$ top
p. 179-195
New integrable systems as a~limit of the~elliptic $SL(N,\mathbb C)$ top
p. 196-207
Integrable structures for a~generalized Monge--Amp\`ere equation
p. 208-224
Angular momentum and gravimagnetization of the~$\mathcal{N}{=}2$ supersymmetric vacuum
p. 225-240
Another new goldfish model
p. 241-253
An~approach for calculating correlation functions in the~six-vertex model with domain wall boundary conditions
p. 254-270
Aspects of defects in integrable quantum field theory
p. 271-282
Multiplicity function for tensor powers of modules of the~$A_n$ algebra
p. 283-293
Generalized hydrodynamic reductions of the~kinetic equation for a~soliton gas
p. 294-302
An~$\hbar$-dependent formulation of the~Kadomtsev--Petviashvili hierarchy
p. 303-311
Quantum generalized Toda system
p. 312-320
Nonstandard Lagrangian tori and pseudotoric structures
p. 321-325
Spectra of the~quantized action variables of the~compactified Ruijsenaars--Schneider system
p. 326-339
Persistent currents in open spin chains
p. 340-352

Sommaire du Fascicule no. 3

Blow-up of the~solution of a~nonlinear system of equations with
p. 355-369
The~Schlesinger system and isomonodromic deformations of bundles with connections on Riemann surfaces
p. 370-386
Spectrum of the~three-particle Schr\"odinger operator on a~one-dimensional lattice
p. 387-403
Some features of quantum statistical systems with an~energy spectrum of the~fractional-power type
p. 404-416
Pauli graphs, Riemann hypothesis, and Goldbach pairs
p. 417-429
Integrable boundary conditions for $(2+1)$-dimensional models of mathematical physics
p. 430-437
Asymptotic behavior of an~eigenvalue of the~two-particle discrete Schr\"odinger operator
p. 438-451
Stationary Schr\"odinger equation in nonrelativistic quantum mechanics and the~functional integral
p. 452-474
Calculating means of quantum observables in the~optical tomography representation
p. 475-482
Continuum analogue of bimodal distributions
p. 483-492
Possibility of reconciling quantum mechanics with general relativity theory
p. 493-510
Topology of solitary magnetic inhomogeneities in a~thin ferromagnetic film
p. 511-518
Evaluating the~geometric measure of quantum discord
p. 519-528