The phenomenon of Darboux displacements

  • Authors:

  • David J. Fernández;Bogdan Mielnik;Oscar Rosas-Ortiz;Boris F. Samsonov

  • Affiliations:

  • Departamento de Física, CINVESTAV, AP 14-740, 07000 México DF, Mexico;Departamento de Física, CINVESTAV, AP 14-740, 07000 México DF, Mexico and Institute of Theoretical Physics, Warsaw University, Hoza 69, Warsaw, Poland;Departamento de Física, CINVESTAV, AP 14-740, 07000 México DF, Mexico;Department of Quantum Field Theory, Tomsk State University, 36 Lenin Ave., 634050 Tomsk, Russia

  • Venue:
  • Physics Letters A
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

For a class of Schrödinger Hamiltonians the supersymmetry transformations can degenerate to simple coordinate displacements. We examine this phenomenon and show that it distinguishes the Weierstrass potentials including the one-soliton wells and periodic Lamé functions. A supersymmetric sense of the addition formula for the Weierstrass functions is elucidated.