Journal of Nonlinear Mathematical Physics

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Volume 4, Issue 1-2, May 1997, Pages 6 - 11

Gauge Transformations for a Family of Nonlinear Schrödinger Equations

Authors
Gerald A. Goldin
Corresponding Author
Gerald A. Goldin
Available Online 1 May 1997.
DOI
10.2991/jnmp.1997.4.1-2.1How to use a DOI?
Abstract

An enlarged gauge group acts nonlinearly on the class of nonlinear Schrödinger equations introduced by the author in joint work with Doebner. Here the equations and the group action are displayed in the presence of an external electromagnetic field. All the gauge-invariants are listed for the coupled nonlinear "Schrödinger-Maxwell" theory. Time-dependent gauge parameters result in additional terms of the type introduced by Kostin and Bialynicki-Birula and Mycielski, but Maxwell's equations for the (non-quantized) gauge-invariant electric and magnetic fields remain linear.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 1-2
Pages
6 - 11
Publication Date
1997/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.1-2.1How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Gerald A. Goldin
PY  - 1997
DA  - 1997/05/01
TI  - Gauge Transformations for a Family of Nonlinear Schrödinger Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 6
EP  - 11
VL  - 4
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.1-2.1
DO  - 10.2991/jnmp.1997.4.1-2.1
ID  - Goldin1997
ER  -