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New Theory of Periodic Systems by Supersymmetric Quantum Mechanics on Finite Interval

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Czechoslovak Journal of Physics Aims and scope

Abstract

We show that the mechanism of gap formation has a resonance nature. The special real solutions were discovered which have knot distribution with a period coinciding with that of potential at all energies of the whole gap interval. In terms of these solutions resonance gap appearance gets the most direct explanation: ever repeating influence of the potential upon wave function results in exponential increase (decrease) of the wave amplitudes in the forbidden zones. Periodical continuation of exactly solvable models of SUSY QM on finite interval gives rise to algorithms of fixing zone properties - shifting chosen boundaries of spectral bands.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, JINR, Dubna, 141980, Russia

    Vladimir M. Chabanov

Authors
  1. Vladimir M. Chabanov
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Chabanov, V.M. New Theory of Periodic Systems by Supersymmetric Quantum Mechanics on Finite Interval. Czechoslovak Journal of Physics 53, 1007–1013 (2003). https://doi.org/10.1023/B:CJOP.0000010525.56306.b3

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  • DOI: https://doi.org/10.1023/B:CJOP.0000010525.56306.b3

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