Nonlinear Gauge Transformation for a Quantum System Obeying an Exclusion-Inclusion Principle

DOI

10.2991/jnmp.2001.8.s.28How to use a DOI?

Abstract

We introduce a nonlinear and noncanonical gauge transformation which allows the rduction of a complex nonlinearity, contained in a Schrödinger equation, into a real one. This Schrödinger equation describes a canonical system, whose kinetics is governed by a generalized Exclusion-Inclusion Principle. The transformation can be easily generaized and used in order to reduce complex nonlinearities into real ones for a wide class of nonlinear Schrödinger equations. We show also that, for one dimensional system and in the case of solitary waves, the above transformation coincides with the one already adopted to study the Doebner­Goldin equation.

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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TY  - JOUR
AU  - G. Kaniadakis
AU  - A. Lavagno
AU  - P. Quarati
AU  - A.M. Scarfone
PY  - 2001
DA  - 2001/02/01
TI  - Nonlinear Gauge Transformation for a Quantum System Obeying an Exclusion-Inclusion Principle
JO  - Journal of Nonlinear Mathematical Physics
SP  - 161
EP  - 165
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.28
DO  - 10.2991/jnmp.2001.8.s.28
ID  - Kaniadakis2001
ER  -