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V. V. Rykhlov
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All published works
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High-frequency two-dimensional asymptotic standing coastal trapped waves in nearly integrable case
2025
Vladislav V Rykhlov
A. Yu. Anikin
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Spectral Series of the Schrödinger Operator with Delta Potential at the Poles of Two- and Three-Dimensional Surfaces of Revolution
2024
V. V. Rykhlov
А. И. Шафаревич
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PDF
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High-Frequency Two-Dimensional Asymptotic Standing Coastal-Trapped Waves in Nearly Integrable Case
2024
A. Yu. Anikin
Vladislav V Rykhlov
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PDF
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Efficient semiclassical approximation for bound states in graphene in magnetic field with a small trigonal warping correction
2024
Vladislav V Rykhlov
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Спектральные серии оператора Шрeдингера с двойным дельта-потенциалом в полюсах двух- и трехмерных поверхностей вращения
2024
V. V. Rykhlov
А. И. Шафаревич
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Constructive Semiclassical Asymptotics of Bound States of Graphene in a Constant Magnetic Field with Small Mass
2022
A. Yu. Anikin
V. V. Rykhlov
Common Coauthors
Coauthor
Papers Together
A. Yu. Anikin
3
А. И. Шафаревич
2
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
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The Analysis of Linear Partial Differential Operators IV
2009
Lars Hörmander
3
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PDF
Chat
Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution
2012
Tudor S. Raţiu
Tat'yana Aleksandrovna Filatova
А. И. Шафаревич
2
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Singular Perturbations of Differential Operators
2000
S. Albeverio
Pavel Kurasov
2
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Efficient Formulas for the Maslov Canonical Operator near a Simple Caustic
2018
S. Yu. Dobrokhotov
В. Е. Назайкинский
2
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PDF
Chat
Scattering on compact manifolds with infinitely thin horns
2003
J. Brüning
V. A. Geyler
2
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PDF
Chat
Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold
2013
Tudor S. Raţiu
Alina Suleimanova
А. И. Шафаревич
2
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New integral representations of the Maslov canonical operator in singular charts
2016
S. Yu. Dobrokhotov
В. Е. Назайкинский
А. И. Шафаревич
2
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Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere
2010
Tat'yana Aleksandrovna Filatova
А. И. Шафаревич
2
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Diophantine Tori and Pragmatic Calculation of Quasimodes for Operators with Integrable Principal Symbol
2020
A. Yu. Anikin
S. Yu. Dobrokhotov
2
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Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems
2019
A. Yu. Anikin
S. Yu. Dobrokhotov
В. Е. Назайкинский
A. V. Tsvetkova
2
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Новые интегральные представления канонического оператора Маслова в особых картах
2017
Sergey Yur'evich Dobrokhotov
В. Е. Назайкинский
А. И. Шафаревич
1
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On the asymptotics of a Bessel-type integral having applications in wave run-up theory
2017
S. Yu. Dobrokhotov
В. Е. Назайкинский
1
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Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics
2017
A. Yu. Anikin
S. Yu. Dobrokhotov
A. I. Klevin
B. Tirozzi
1
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Averaging and Spectral Bands for The 2-D Magnetic Schrödinger Operator with Growing and One-Direction Periodic Potential
2019
A. Yu. Anikin
J. Brüning
S. Yu. Dobrokhotov
E. V. Vybornyi
1
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Lagrangian Tori and Quantization Conditions Corresponding to Spectral Series of the Laplace Operator on a Surface of Revolution with Conical Points
2019
А. И. Шафаревич
1
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Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics
2020
S. Yu. Dobrokhotov
В. Е. Назайкинский
1
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PDF
Chat
Quantum averaging. I. Poincare-von Zeipel is Rayleigh Schrodinger
1994
Wolfgang Scherer
1
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Semiclassical Asymptotics of the Solution to the Cauchy Problem for the Schrödinger Equation with a Delta Potential Localized on a Codimension 1 Surface
2020
А. И. Шафаревич
Olga Alexandrovna Shchegortsova
1
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Constructive Semiclassical Asymptotics of Bound States of Graphene in a Constant Magnetic Field with Small Mass
2022
A. Yu. Anikin
V. V. Rykhlov
1
+
Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves
2022
A. Yu. Anikin
S. Yu. Dobrokhotov
В. Е. Назайкинский
A. V. Tsvetkova
1
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PDF
Chat
Квазиклассическая асимптотика решения задачи Коши для уравнения Шрeдингера с дельта-потенциалом, локализованным на поверхности коразмерности 1
2020
А. И. Шафаревич
А. И. Шафаревич
Ольга Александровна Щегорцова
Olga Alexandrovna Shchegortsova
1
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PDF
Chat
Maslov complex germ and semiclassical contracted states in the Cauchy problem for the Schrödinger equation with delta potential
2022
А. И. Шафаревич
Ольга Александровна Щегорцова
1
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PDF
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Uniformization and Semiclassical Asymptotics for a Class of Equations Degenerating on the Boundary of a Manifold
2023
A. Yu. Anikin
S. Yu. Dobrokhotov
В. Е. Назайкинский
А. А. Толченников
1
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Another Billiard Problem
2024
Sergey Bolotin
Dmitry Treschev
1
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Semiclassical Asymptotics on Stratified Manifolds
2024
В. Е. Назайкинский
1
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Quantum Algebras and Poisson Geometry in Mathematical Physics
2005
M. V. Karasev
Maria Shishkova
1
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PDF
Chat
Equation de Schrödinger avec champ magnétique et équation de Harper
1989
Bernard Helffer
Johannes Sjöstrand
1
+
Second Order Equations With Nonnegative Characteristic Form
1973
O. A. Oleĭnik
E. V. Radkevič
1
+
Spectre conjoint d’operateurs pseudo-differentiels qui commutent I. le cas non integrable
1979
Yves Colin de Verdìère
1
+
High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope
1998
Anatoli Merzon
P. Zhevandrov
1
+
The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary
2014
В. Е. Назайкинский
1
+
Asymptotic methods in the theory of non-linear oscillations
1963
N. DeClaris
1
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The asymptotic eigenfunctions of the operator ∇D(x, y)∇ corresponding to Liouville metrics and waves on water captured by bottom irregularities
1996
Vladimir S. Matveev
1
+
PDF
Chat
Unitary reduction for the two‐dimensional Schrödinger operator with strong magnetic field
2009
Andrei Eckstein
1
+
Asymptotic and geometric quantization
1984
M. V. Karasev
V. P. Maslov
1
+
Phase space geometry for a wave equation degenerating on the boundary of the domain
2012
В. Е. Назайкинский
1
+
The Maupertuis-Jacobi principle for Hamiltonians of the form F(x, |p|) in two-dimensional stationary semiclassical problems
2015
S. Yu. Dobrokhotov
D. S. Minenkov
Michel Rouleux
1