Generalized gauge invariants for certain nonlinear Schrödinger equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0989.81020
publication date: 2001-04-25T00:00:00Z
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1591509
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: wave function
zbMATH Keywords: gauge transformation
author: Gerald A. Goldin
MaRDI profile type: Publication
title: Generalized gauge invariants for certain nonlinear Schrödinger equations
review text: The author introduces a new class of nonlinear gauge transformations of the wave function, which involve the phase \(S\) of the wave function and the logarithm \(T\) of its amplitude. As a result, the linear Schrödinger equation is embedded in a natural class of nonlinear evolution equations, invariant as a class under gauge transformations. Some expressions containing \(S\) and \(T\), and invariant with respect to gauge transformations, are found.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
reviewed by: Anatoly N. Kochubei
description: scientific article