The confluent algorithm in second-order supersymmetric quantum mechanics

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Published 26 February 2003 • Published under licence by IOP Publishing Ltd
, , Citation David J Fernández C and Encarnación Salinas-Hernández 2003 J. Phys. A: Math. Gen. 36 2537 DOI 10.1088/0305-4470/36/10/313

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1 Departamento de Física, CINVESTAV, AP 14-740, 07000 México DF, Mexico

2 Escuela Superior de Física y Matemáticas and Escuela Superior de Cómputo, Instituto Politécnico Nacional Ed. 9, UP Adolfo López Mateos, 07738 México DF, Mexico

Dates

  1. Received 13 January 2003
  2. Published

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0305-4470/36/10/2537

Abstract

The confluent algorithm, a degenerate case of the second-order supersymmetric quantum mechanics, is studied. It is shown that the transformation function must asymptotically vanish to induce non-singular final potentials. The technique can be used to create a single level above the initial ground state energy. The method is applied to the free particle, one-soliton well and harmonic oscillator.

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