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

  • H.-D. Doebner
  • G. A. Goldin
  • P. Nattermann

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 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • H.-D. Doebner
    • 1
    • 2
  • G. A. Goldin
    • 3
  • P. Nattermann
    • 2
  1. 1.Arnold Sommerfeld Institute for Mathematical PhysicsTechnical University of ClausthalClausthal-ZellerfeldGermany
  2. 2.Institute for Theoretical PhysicsTechnical University of ClausthalClausthal-ZellerfeldGermany
  3. 3.Departments of Mathematics and PhysicsRutgers UniversityNew BrunswickUSA

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