The confluent algorithm in second-order supersymmetric quantum mechanics

David J. Fernández C, Encarnación Salinas-Hernández

Research output: Contribution to journalArticlepeer-review

59 Scopus citations

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.

Original languageEnglish
Pages (from-to)2537-2543
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number10
DOIs
StatePublished - 14 Mar 2003

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