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A FAMILY OF NONLINEAR SCHR\"ODINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE

H. -D. Doebner·G. A. Goldin·P. Nattermann
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Abstract

We examine a recently-proposed family of nonlinear Schr\"odinger equations [J. Phys. A: Math. Gen. 27:1771(1994)] with respect to a group of transformations that linearize a subfamily of them. We investigate the structure of the whole family with respect to the linearizing transformations, and propose a new, invariant parameterization.

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H. -D. Doebner, G. A. Goldin, P. Nattermann. 1995-02-16. A FAMILY OF NONLINEAR SCHR\"ODINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE. https://arxiv.org/abs/quant-ph/9502014

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