Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction

Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction

書目詳細資料
Parent link:	Symmetry Vol. 13, iss. 7.— 2021.— [1289, 22 p.]
主要作者:	Kulagin A. E. Anton Evgenievich
其他作者:	Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
總結:	Title screen We propose the approach to constructing semiclassical spectral series for the generalized multidimensional stationary Gross–Pitaevskii equation with a nonlocal interaction term. The eigenvalues and eigenfunctions semiclassically concentrated on a curve are obtained. The curve is described by the dynamic system of moments of solutions to the nonlocal Gross–Pitaevskii equation. We solve the eigenvalue problem for the nonlocal stationary Gross–Pitaevskii equation basing on the semiclassical asymptotics found for the Cauchy problem of the parametric family of linear equations associated with the time-dependent Gross–Pitaevskii equation in the space of extended dimension. The approach proposed uses symmetries of equations in the space of extended dimension.
語言:	英语
出版:	2021
主題:	электронный ресурс труды учёных ТПУ stationary Gross–Pitaevskii equation nonlocal interaction nonlinear spectral problem Bose–Einstein condensate semiclassical approximation symmetry operators
在線閱讀:	http://earchive.tpu.ru/handle/11683/71102 https://doi.org/10.3390/sym13071289
格式:	電子 Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666097

相似書籍

The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve
由: Shapovalov A. V. Aleksandr Vasilyevich
出版: (2020)

Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
由: Borisov A. V. Aleksey Vladimirovich
出版: (2005)

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential
由: Shapovalov A. V. Aleksandr Vasilyevich
出版: (2005)

An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation
由: Shapovalov A. V. Aleksandr Vasilyevich
出版: (2018)

Approximate Solutions and Symmetry of a Two-Component Nonlocal Reaction-Diffusion Population Model of the Fisher-KPP Type
由: Shapovalov A. V. Aleksandr Vasiljevich
出版: (2019)

Symmetries of the Fisher–Kolmogorov–Petrovskii–Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation
出版: (2012)

Semiclassical spectral series of the two-component Hartree-type operator
出版: (2007)

Semiclassical approximation for the twodimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal nonlinearity in polar coordinates
由: Trifonov A. Yu. Andrey Yurievich
出版: (2011)

Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity
由: Shapovalov A. V. Aleksandr Vasiljevich
出版: (2022)

Semiclassical Approach to the Nonlocal Kinetic Model of Metal Vapor Active Media
由: Shapovalov A. V. Aleksandr Vasiljevich
出版: (2021)

Formalism of semiclassical asymptotics for a two-component Hartree-type equation
由: Smirnova E. I.
出版: (2009)

Symmetry operators of a Hartree-type equation with quadratic potential
由: Lisok A. L. Aleksandr Leonidovich
出版: (2005)

A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term
由: Kulagin A. E. Anton Evgenievich
出版: (2024)

Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation
由: Kulagin A. E. Anton Evgenievich
出版: (2015)

The one-dimensional Fisher–Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation
由: Trifonov A. Yu. Andrey Yurievich
出版: (2009)

Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian
由: Lisok A. L. Aleksandr Leonidovich
出版: (2007)

One-Dimensional Fokker–Planck Equation with Quadratically Nonlinear Quasilocal Drift
由: Shapovalov A. V. Aleksandr Vasilyevich
出版: (2018)

Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation
由: Lisok A. L. Aleksandr Leonidovich
出版: (2007)

Functional Control Synthesis of Single-Phase Low Power Motor Drives
出版: (2019)

Calogero models and nonlocal conformal transformations
由: Galajinsky A. V. Anton Vladimirovich
出版: (2006)

Application of numerical signal differentiation methods to determine statio-narity of A process
出版: (2018)

Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
由: Lisok A. L. Aleksandr Leonidovich
出版: (2013)

Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
由: Shapovalov A. V. Aleksandr Vasilyevich
出版: (2007)

Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential
由: Litvinets F. N.
出版: (2005)

Spectral Characteristics of Polarization Radiation in the Water Window Range
出版: (2024)

Spectral characteristics of the luminescence of industrial yag phosphors
由: Vaganov V. Vitalii
出版: (2016)

Adomyan Decomposition Method for a Two-Component Nonlocal Reaction-Diffusion Model of the Fisher–Kolmogorov–Petrovsky–Piskunov Type
由: Shapovalov A. V. Aleksandr Vasiljevich
出版: (2019)

Asymptotic Behavior of the One-Dimensional Fisher–Kolmogorov–Petrovskii–Piskunov Equation with Anomalouos Diffusion
由: Prozorov A. A. Alexander Andreevich
出版: (2015)

Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation
由: Kulagin A. E. Anton Evgenievich
出版: (2025)

Rational Ruijsenaars-Schneider model with cosmological constant
由: Galajinsky A. V. Anton Vladimirovich
出版: (2025)

Comment on Mahariq et al. Investigation and Analysis of Acoustojets by Spectral Element Method. Mathematics 2022, 10, 3145
由: Minin I. V. Igor Vladilenovich
出版: (2022)

Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS4 space
出版: (2019)

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity
由: Levchenko E. A. Evgeny Anatolievich
出版: (2017)

Asymptotics semiclassically concentrated on curves for the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation
由: Levchenko E. A. Evgeny Anatolievich
出版: (2016)

Some Aspects of Nonlinearity and Self-Organization In Biosystems on Examples of Localized Excitations in the DNA Molecule and Generalized Fisher–KPP Model
由: Shapovalov A. V. Aleksandr Vasilyevich
出版: (2018)

Influence of the method of synthesis on lead azide photolysis
由: Surovoy E. P.
出版: (2007)

Symmetry operators of the two-component Gross—Pitaevskii equation with a Manakov-type nonlocal nonlinearity
由: Shapovalov A. V. Aleksandr Vasilyevich
出版: (2016)

N=4 superconformal Calogero models
由: Galajinsky A. V. Anton Vladimirovich
出版: (2007)

Chemical spectral shift control method for VVER-1000 LEU fuel assembly benchmark
由: Elzayat T. Tarek
出版: (2022)

Conformal mechanics inspired by extremal black holes in d = 4
由: Galajinsky A. V. Anton Vladimirovich
出版: (2011)