A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term

A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term

The nonlinear Schrödinger 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 nonlocal generalization of multidimensional NLSE with a non-Hermitian term. Using the ideas of the Maslov method, we propo...

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Bibliographic Details
Main Authors: Anton E. Kulagin, Alexander V. Shapovalov
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Mathematics
Subjects:
semiclassically concentrated solutions
Maslov’s complex germ method
open quantum systems
asymptotic solution
dissipation
atom laser
Online Access:https://www.mdpi.com/2227-7390/12/4/580

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https://www.mdpi.com/2227-7390/12/4/580

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