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

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 dyn...

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Bibliographic Details
Main Authors: Anton E. Kulagin, Alexander V. Shapovalov, Andrey Y. Trifonov
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Symmetry
Subjects:
stationary Gross–Pitaevskii equation
nonlocal interaction
nonlinear spectral problem
Bose–Einstein condensate
semiclassical approximation
symmetry operators
Online Access:https://www.mdpi.com/2073-8994/13/7/1289

Internet

https://www.mdpi.com/2073-8994/13/7/1289

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