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Isospectral transformations in relativistic and nonrelativistic mechanics

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Abstract

The modified Korteweg de-Vries hierarchy of partial differential equations generating transformations of the one-dimensional Dirac equation, is shown to reduce in the limitc→∞ to the Korteweg de-Vries hierarchy, generating isospectral transformations of the Schrödinger equation. The former hierarchy reduces into relativistic and the latter into nonrelativistic isoperiodic transformation in the limitħ→0.

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Authors and Affiliations

  1. Department of Chemistry, Technion-Israel Institute of Technology, 32000, Technion City, Haifa, Israel

    Avia Rosenhouse & Jacob Katriel

Authors
  1. Avia Rosenhouse
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  2. Jacob Katriel
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Rosenhouse, A., Katriel, J. Isospectral transformations in relativistic and nonrelativistic mechanics. Letters in Mathematical Physics 13, 141–146 (1987). https://doi.org/10.1007/BF00955203

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  • DOI: https://doi.org/10.1007/BF00955203

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