The confluent algorithm in second order supersymmetric quantum mechanics

Details The confluent algorithm in second order supersymmetric quantum mechanics The confluent algorithm in second order supersymmetric quantum mechanics

2003-03-19

arxiv.org/abs/quant-ph/0303123v1

J.Phys.A36:2537-2543,2003

Physics

Quantum Physics

9 pages, latex, 2 postscript figures

Scientific paper

10.1088/0305-4470/36/10/313

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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