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Representation of Bessel functions by the Maslov canonical operator.
- Published in:
- Theoretical & Mathematical Physics, 2021, v. 208, n. 2, p. 1018, doi. 10.1134/S0040577921080031
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- Article
Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states.
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- Theoretical & Mathematical Physics, 2020, v. 204, n. 2, p. 984, doi. 10.1134/S0040577920080024
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- Article
Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems.
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- Theoretical & Mathematical Physics, 2019, v. 201, n. 3, p. 1742, doi. 10.1134/S0040577919120079
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- Article
Asymptotics of Wave Functions of the Stationary Schrödinger Equation in the Weyl Chamber.
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- Theoretical & Mathematical Physics, 2018, v. 197, n. 2, p. 1626, doi. 10.1134/S0040577918110065
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- Article
Gaussian Packets and Beams with Focal Points in Vector Problems of Plasma Physics.
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- Theoretical & Mathematical Physics, 2018, v. 196, n. 1, p. 1059, doi. 10.1134/S0040577918070115
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- Article
Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics.
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- Theoretical & Mathematical Physics, 2017, v. 193, n. 3, p. 1761, doi. 10.1134/S0040577917120042
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- Article
Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers.
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- Theoretical & Mathematical Physics, 2016, v. 188, n. 2, p. 1210, doi. 10.1134/S0040577916080067
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- Article
Semiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problems.
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- Theoretical & Mathematical Physics, 2016, v. 186, n. 3, p. 333, doi. 10.1134/S004057791603003X
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- Article
Maslov's canonical operator, Hörmander's formula, and localization of the Berry-Balazs solution in the theory of wave beams.
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- Theoretical & Mathematical Physics, 2014, v. 180, n. 2, p. 894, doi. 10.1007/s11232-014-0187-5
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- Article
Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms.
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- Theoretical & Mathematical Physics, 2014, v. 178, n. 3, p. 278, doi. 10.1007/s11232-014-0143-4
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- Article
New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics.
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- Theoretical & Mathematical Physics, 2013, v. 177, n. 3, p. 1579, doi. 10.1007/s11232-013-0123-0
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- Article
Splitting of lower energy levels in a quantum double well in a magnetic field and tunneling of wave packets in Nanowires.
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- Theoretical & Mathematical Physics, 2013, v. 175, n. 2, p. 620, doi. 10.1007/s11232-013-0051-z
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- Article
Generalized Foldy-Wouthuysen transformation and pseudodifferential operators.
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- Theoretical & Mathematical Physics, 2011, v. 167, n. 2, p. 547, doi. 10.1007/s11232-011-0041-y
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- Article
Remark on the phase shift in the Kuzmak-Whitham ansatz.
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- Theoretical & Mathematical Physics, 2011, v. 166, n. 3, p. 303, doi. 10.1007/s11232-011-0025-y
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- Article
Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity.
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- Theoretical & Mathematical Physics, 2008, v. 155, n. 2, p. 689, doi. 10.1007/s11232-008-0059-y
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- Article
Splitting Formulas for the Higher and Lower Energy Levels of the One-Dimensional Schrödinger Operator [Erratum].
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- 2004
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- Erratum
Asymptotic Solutions of Nonrelativistic Equations of Quantum Mechanics in Curved Nanotubes: I. Reduction to Spatially One-Dimensional Equations.
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- Theoretical & Mathematical Physics, 2004, v. 141, n. 2, p. 1562, doi. 10.1023/B:TAMP.0000046563.43563.e6
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- Article
Calculation of Integrals of the Hugoniot–Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation.
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- Theoretical & Mathematical Physics, 2004, v. 139, n. 1, p. 500, doi. 10.1023/B:TAMP.0000022742.45549.22
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- Article
Splitting Formulas for the Higher and Lower Energy Levels of the One-Dimensional Schrödinger Operator.
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- Theoretical & Mathematical Physics, 2004, v. 138, n. 1, p. 98, doi. 10.1023/B:TAMP.0000010637.91646.c2
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- Article
Explicit Formulas for Generalized Action–Angle Variables in a Neighborhood of an Isotropic Torus and Their Application.
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- Theoretical & Mathematical Physics, 2003, v. 135, n. 3, p. 765, doi. 10.1023/A:1024022718890
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- Article
A class of exact algebraic localized solutions of the multidimensional wave equation.
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- Mathematical Notes, 2010, v. 88, n. 5/6, p. 894, doi. 10.1134/S0001434610110313
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- Article
The semiclassical Maupertuis-Jacobi correspondence and applications to linear water wave theory.
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- Mathematical Notes, 2010, v. 87, n. 3/4, p. 430, doi. 10.1134/S0001434610030168
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- Article
Peierls substitution and the Maslov operator method.
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- Mathematical Notes, 2010, v. 87, n. 3/4, p. 521, doi. 10.1134/S0001434610030302
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- Article
Representations of rapidly decaying functions by the Maslov canonical operator.
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- Mathematical Notes, 2007, v. 82, n. 5/6, p. 713, doi. 10.1134/S0001434607110144
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- Article
Hugoniot-Maslov Chains for the System of Shallow-Water Equations Taking into Account Energy Exchange.
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- Mathematical Notes, 2005, v. 78, n. 5/6, p. 740, doi. 10.1007/s11006-005-0177-x
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- Article
Non-Self-Adjointness of Operators with Small Diffusion.
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- Mathematical Notes, 2005, v. 78, n. 5/6, p. 874, doi. 10.1007/s11006-005-0192-y
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- Article
Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator.
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- Mathematical Notes, 2004, v. 76, n. 5/6, p. 653, doi. 10.1023/B:MATN.0000049664.77226.52
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- Article
Uniformization and Semiclassical Asymptotics for a Class of Equations Degenerating on the Boundary of a Manifold.
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- Journal of Mathematical Sciences, 2023, v. 270, n. 4, p. 507, doi. 10.1007/s10958-023-06363-8
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- Article
Hall Conductivity of Minibands Lying at the Wings of Landau Levels.
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- JETP Letters, 2003, v. 77, n. 11, p. 616, doi. 10.1134/1.1600817
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- Article
Averaging and Trajectories of a Hamiltonian System Appearing in Graphene Placed in a Strong Magnetic Field and a Periodic Potential.
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- Journal of Mathematical Sciences, 2017, v. 223, n. 6, p. 656, doi. 10.1007/s10958-017-3375-7
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- Article
On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator.
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- Mathematical Notes, 2022, v. 112, n. 5/6, p. 623, doi. 10.1134/S0001434622110013
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- Article
Lagrangian Manifolds and Efficient Short-Wave Asymptotics in a Neighborhood of a Caustic Cusp.
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- Mathematical Notes, 2020, v. 108, n. 3/4, p. 318, doi. 10.1134/S0001434620090023
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- Article
Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics.
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- Mathematical Notes, 2020, v. 107, n. 5/6, p. 847, doi. 10.1134/S0001434620050132
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- Article
Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the ▽D(x)▽ Operator in Dimension 2 and Trapped Coastal Waves.
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- Mathematical Notes, 2019, v. 105, n. 5/6, p. 789, doi. 10.1134/S0001434619050158
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- Article
Exact Step-Like Solutions of One-Dimensional Shallow-Water Equations over a Sloping Bottom.
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- Mathematical Notes, 2018, v. 104, n. 5/6, p. 915, doi. 10.1134/S0001434618110354
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- Article
Lagrangian Manifolds Related to the Asymptotics of Hermite Polynomials.
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- Mathematical Notes, 2018, v. 104, n. 5/6, p. 810, doi. 10.1134/S0001434618110263
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- Article
Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem.
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- Mathematical Notes, 2018, v. 104, n. 3/4, p. 471, doi. 10.1134/S0001434618090158
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- Article
One Approach to the Computation of Asymptotics of Integrals of Rapidly Varying Functions.
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- Mathematical Notes, 2018, v. 103, n. 5/6, p. 713, doi. 10.1134/S0001434618050048
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- Article
On the asymptotics of a Bessel-type integral having applications in wave run-up theory.
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- Mathematical Notes, 2017, v. 102, n. 5/6, p. 756, doi. 10.1134/S0001434617110141
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- Article
Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach.
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- Mathematical Notes, 2017, v. 101, n. 5/6, p. 802, doi. 10.1134/S0001434617050066
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- Article
Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions.
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- Mathematical Notes, 2017, v. 101, n. 5/6, p. 1053, doi. 10.1134/S0001434617050339
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- Article
Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation.
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- Mathematical Notes, 2016, v. 100, n. 5/6, p. 695, doi. 10.1134/S0001434616110067
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- Article
Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some 'simple' solutions.
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- Mathematical Notes, 2016, v. 100, n. 5/6, p. 796, doi. 10.1134/S0001434616110195
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- Article
Volume and entropy in abstract analytic number theory and thermodynamics.
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- Mathematical Notes, 2016, v. 100, n. 5/6, p. 828, doi. 10.1134/S0001434616110225
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- Article
The Maupertuis-Jacobi principle for Hamiltonians of the form F( x, | p|) in two-dimensional stationary semiclassical problems.
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- Mathematical Notes, 2015, v. 97, n. 1/2, p. 42, doi. 10.1134/S0001434615010058
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- Article
Homogenization in the problem of long water waves over a bottom site with fast oscillations.
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- Mathematical Notes, 2014, v. 95, n. 3/4, p. 324, doi. 10.1134/S0001434614030055
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- Article
On transforms reducing one-dimensional systems of shallow-water to the wave equation with sound speed c = x.
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- Mathematical Notes, 2013, v. 93, n. 5/6, p. 704, doi. 10.1134/S0001434613050064
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- Article
Averaging of linear operators, adiabatic approximation, and pseudodifferential operators.
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- Mathematical Notes, 2012, v. 92, n. 1/2, p. 151, doi. 10.1134/S0001434612070188
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- Article
Asymptotics of the Localized Bessel Beams and Lagrangian Manifolds.
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- Journal of Communications Technology & Electronics, 2023, v. 68, n. 6, p. 625, doi. 10.1134/S1064226923060037
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- Article
Variational Method for Computing Ray Trajectories and Fronts of Tsunami Waves Generated by a Localized Source.
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- Computational Mathematics & Mathematical Physics, 2020, v. 60, n. 8, p. 1392, doi. 10.1134/S0965542520080072
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- Article