1.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU765 papers
- Kurchatov InstituteRU737 papers
- Joint Institute for Nuclear ResearchRU724 papers
- Petersburg Nuclear Physics InstituteRU716 papers
- Centre National de la Recherche ScientifiqueFR708 papers
- European Organization for Nuclear ResearchCH707 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT695 papers
- Tsinghua UniversityCN695 papers
- Institute for High Energy PhysicsES694 papers
- Institute of High Energy PhysicsCN693 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR684 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT684 papers
56 papers · 1 filter
Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term
Anton E. Kulagin, Alexander V. Shapovalov
We develop the method for constructing solutions to the nonlocal nonlinear Schrödinger equation (NLSE) with an anti-Hermitian term that are semiclassically localized on a one-dimen…
Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation
Anton E. Kulagin, Alexander V. Shapovalov
We deal with the -dimensional nonlinear Schrödinger equation (NLSE) with a cubic nonlocal nonlinearity and an anti-Hermitian term, which is widely used model for the study of op…
Quasiparticles for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation
A. E. Kulagin, A. V. Shapovalov
We construct quasiparticles-like solutions to the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) with a nonlocal nonlinearity using the method of semiclassically conc…
Semiclassical approach to the nonlocal nonlinear Schrödinger equation with a non-Hermitian term
A. E. Kulagin, A. V. Shapovalov
The nonlinear Schödinger equation (NLSE) with a non-Hermitian term is the model for various phenomena in nonlinear open quantum systems. We deal with the Cauchy problem for the non…
Multichannel scattering for the Schrödinger equation on a line with different thresholds at both infinities
P. O. Kazinski, P. S. Korolev
The multichannel scattering problem for the stationary Schrödinger equation on a line with different thresholds at both infinities is investigated. The analytical structure of the…
Deformation quantization of the simplest Poisson Orbifold
Alexey Sharapov, Evgeny Skvortsov, Arseny Sukhanov
Whenever a given Poisson manifold is equipped with discrete symmetries the corresponding algebra of invariant functions or the algebra of functions twisted by the symmetry group ca…
Deformation quantization of contact manifolds
Boris M. Elfimov, Alexey A. Sharapov
We extend Fedosov deformation quantization to general contact manifolds. Unlike the case of symplectic manifolds, not every classical observable on a contact manifold is generally…
Family of asymptotic solutions to the two-dimensional kinetic equation with a nonlocal cubic nonlinearity
Alexander V. Shapovalov, Anton E. Kulagin, Sergei A. Siniukov
We apply the original semiclassical approach to the kinetic ionization equation with the nonlocal cubic nonlinearity in order to construct the family of its asymptotic solutions. T…
Semiclassical approach to the nonlocal kinetic model of metal vapor active media
Alexander V. Shapovalov, Anton E. Kulagin
A semiclassical approach based on the WKB-Maslov method is developed for the kinetic ionization equation in dense plasma with approximations characteristic of metal vapor active me…
Noncommutative reduction of the nonlinear Schrödinger equation on Lie groups
A. I. Breev, A. V. Shapovalov, D. M. Gitman
We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of…
Noncommutative integration of the Dirac equation in homogeneous spaces
A. I. Breev, A. V. Shapovalov
We develop a noncommutative integration method for the Dirac equation in homogeneous spaces. The Dirac equation with an invariant metric is shown to be equivalent to a system of eq…
Atiyah-Patodi-Singer Index Theorem for Domain Walls
A. V. Ivanov, D. V. Vassilevich
We consider the index of a Dirac operator on a compact even dimensional manifold with a domain wall. The latter is defined as a co-dimension one submanifold where the connection ju…
Thick morphisms of supermanifolds, quantum mechanics, and spinor representation
Hovhannes Khudaverdian, Theodore Voronov
"Thick" or "microformal" morphisms of supermanifolds generalize ordinary maps. They were discovered as a tool for homotopy algebras. Namely, the corresponding pullbacks provide $L_…
Schwarzian mechanics via nonlinear realizations
Anton Galajinsky
The method of nonlinear realizations is used to clarify some conceptual and technical issues related to the Schwarzian mechanics. It is shown that the Schwarzian derivative arises…
Casimir operators of centrally extended l-conformal Galilei algebra
Anton Galajinsky, Ivan Masterov
The full set of Casimir elements of the centrally extended l-conformal Galilei algebra is found in simple and tractable form.
On deformations of -algebras
Alexey A. Sharapov, Evgeny D. Skvortsov
A simple method is proposed for deforming -algebras by means of the resolution technique. The method is then applied to the associative algebras of polynomial functions o…
Recurrence relations for symplectic realization of (quasi)-Poisson structures
Vladislav G. Kupriyanov
It is known that any Poisson manifold can be embedded into a bigger space which admites a description in terms of the canonical Poisson structure, i.e., Darboux coordinates. Such a…
A simple construction of associative deformations
Alexey A. Sharapov, Evgeny D. Skvortsov
We propose a simple approach to formal deformations of associative algebras. It exploits the machinery of multiplicative coresolutions of an associative algebra A in the category o…
Nearly associative deformation quantization
D. Vassilevich, F. M. C. Oliveira
We study several classes of non-associative algebras as possible candidates for deformation quantization in the direction of a Poisson bracket that does not satisfy Jacobi identiti…
Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator
Ekaterina Shemyakova, Theodore Voronov
We consider factorization problem for differential operators on the commutative algebra of densities (defined either algebraically or in terms of an auxiliary extended manifold) in…
Pure radiation in space-time models that admit integration of the eikonal equation by the separation of variables method
Evgeny Osetrin, Konstantin Osetrin
We consider space-time models with pure radiation, which admit integration of the eikonal equation by the method of separation of variables. For all types of these models, the equa…
Symmetry operators and separation of variables in the -dimensional Dirac equation with external electromagnetic field
A. V. Shapovalov, A. I. Breev
We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential i…
Unitary quantization and para-Fermi statistics of order two
Yu. A. Markov, M. A. Markova, D. M. Gitman
A connection between a unitary quantization scheme and para-Fermi statistics of order 2 is considered. An appropriate extension of Green's ansatz is suggested. This extension allow…
Hochschild cohomology of the Weyl algebra and Vasiliev's equations
Alexey A. Sharapov, Evgeny D. Skvortsov
We propose a simple injective resolution for the Hochschild complex of the Weyl algebra. By making use of this resolution, we derive explicit expressions for nontrivial cocycles of…