Second Order Supersymmetry Transformations in Quantum Mechanics

Details Second Order Supersymmetry Transformations in Quantum Mechanics Second Order Supersymmetry Transformations in Quantum Mechanics

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..167f&link_type=abstract

Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International

Mathematics

Mathematical Physics

1

Scientific paper

We propose a natural classification scheme of the second order supersymmetry transformations in quantum mechanics. The possibilities of manipulating spectra offered by those transformations are also explored. In particular, it is shown that the difficulty of modifying the excited state levels can be now overcome, therefore enlarging the possibilities offered by the standard first order treatment. The results are illustrated taking as the initial system the standard harmonic oscillator.

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