Nonlinear gauge transformation for a class of Schroedinger equations containing complex nonlinearities
量子物理
2015-06-26 v1 凝聚态物理
数学物理
math.MP
摘要
We consider a wide class of nonlinear canonical quantum systems described by a one-particle Schroedinger equation containing a complex nonlinearity. We introduce a nonlinear unitary transformation which permits us to linearize the continuity equation. In this way we are able to obtain a new quantum system obeying to a nonlinear Schroedinger equation with a real nonlinearity. As an application of this theory we consider a few already studied Schroedinger equations as that containing the nonlinearity introduced by the exclusion-inclusion principle, the Doebner-Goldin equation and others. PACS numbers: 03.65.-w, 11.15.-q
引用
@article{arxiv.quant-ph/0209075,
title = {Nonlinear gauge transformation for a class of Schroedinger equations containing complex nonlinearities},
author = {G. Kaniadakis and A. M. Scarfone},
journal= {arXiv preprint arXiv:quant-ph/0209075},
year = {2015}
}
备注
3pages, two columns, RevTeX4, no figures