A Family of Nonlinear Schrödinger Equations: Linearizing Transformations and Resulting Structure

H.-D. Doebner, G. A. Goldin and P. Nattermann
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H.-D. Doebner: Technical University of Clausthal, Arnold Sommerfeld Institute for Mathematical Physics
G. A. Goldin: Rutgers University, Departments of Mathematics and Physics
P. Nattermann: Technical University of Clausthal, Institute for Theoretical Physics

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 27-31 from Springer

Abstract: Abstract We examine a recently proposed family of nonlinear Schrödinger equations 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.

Keywords: Gauge Invariant; Group Parameter; Nonlinear Transformation; Schrodinger Equation; Affine Group (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_3

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DOI: 10.1007/978-1-4899-1060-8_3

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