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Multiparameter deformation theory for quantum confined systems

J. Math. Phys. 50, 112103 (2009); doi:10.1063/1.3256128

Published 9 November 2009

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A. N. F. Aleixo1 and A. B. Balantekin2
1Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro 25725232, Brazil
2Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA
We introduce a generalized multiparameter deformation theory applicable to all supersymmetric and shape-invariant systems. Taking particular choices for the deformation factors used in the construction of the deformed ladder operators, we show that we can generalize the one-parameter quantum-deformed harmonic oscillator models and build alternative multiparameter deformed models that are also shape invariant like the primary undeformed system. ©2009 American Institute of Physics
History: Received 31 July 2009; accepted 6 October 2009; published 9 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/112103/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Fd
    Algebraic methods in quantum mechanics
  • 03.65.Ge
    Solutions of wave equations: bound states in quantum mechanics
  • 02.10.Ud
    Linear algebra
  • 02.20.Sv
    Lie algebras of Lie groups
  • YEAR: 2009

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ISSN:
0022-2488 (print)   1089-7658 (online)
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