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文章基本信息

  • 标题:Using supermodels in quantum optics
  • 本地全文:下载
  • 作者:Nicole Garbers ; Andreas Ruffing
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2006
  • 卷号:2006
  • DOI:10.1155/ADE/2006/72768
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Starting from supersymmetric quantum mechanics and related supermodels within Schrödinger theory, we review the meaning of self-similar superpotentials which exhibit the spectrum of a geometric series. We construct special types of discretizations of the Schrödinger equation on time scales with particular symmetries. This discretization leads to the same type of point spectrum for the referred Schrödinger difference operator than in the self-similar superpotential case, hence exploiting an isospectrality situation. A discussion is opened on the question of how the considered energy sequence and its generalizations serve the understanding of coherent states in quantum optics.

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