English

Nonlinear Gauge Transformations and Exact Solutions of the Doebner-Goldin Equation

Quantum Physics 2008-02-03 v1 High Energy Physics - Theory Exactly Solvable and Integrable Systems solv-int

Abstract

Invariants of nonlinear gauge transformations of a family of nonlinear Schr\"odinger equations proposed by Doebner and Goldin are used to characterize the behaviour of exact solutions of these equations.

Keywords

Cite

@article{arxiv.quant-ph/9506033,
  title  = {Nonlinear Gauge Transformations and Exact Solutions of the Doebner-Goldin Equation},
  author = {P. Nattermann and W. Scherer},
  journal= {arXiv preprint arXiv:quant-ph/9506033},
  year   = {2008}
}

Comments

12 pages, LaTeX, to appear in "Nonlinear, Deformed and Irreversible Quantum Systems", Proceedings of an International Symposium on Mathematical Physics, World Scientific, Singapore 1995