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A new two-parameter family of exactly solvable Dirac Hamiltonians

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Abstract

Using the Darboux transformation method, we construct a two-parameter family of exactly solvable Dirac Hamiltonians. We obtain intertwining relations between various members of this family. We study the spectral properties of these Hamiltonians and give explicit expressions for their eigenfunctions.

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Authors and Affiliations

  1. Semenov Institute for Chemical Physics, RAS, Moscow, Russia

    E. O. Pozdeeva

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  1. E. O. Pozdeeva
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Correspondence to E. O. Pozdeeva.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 159, No. 2, pp. 243–251, May, 2009.

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Pozdeeva, E.O. A new two-parameter family of exactly solvable Dirac Hamiltonians. Theor Math Phys 159, 618–626 (2009). https://doi.org/10.1007/s11232-009-0050-2

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  • DOI: https://doi.org/10.1007/s11232-009-0050-2

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