This article is cited in 1 paper

A new two-parameter family of exactly solvable Dirac Hamiltonians

E. O. Pozdeeva

N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

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.

Keywords: Darboux transformation, Dirac equation, supersymmetry.

DOI: 10.4213/tmf6345

 English version: Theoretical and Mathematical Physics, 2009, 159:2, 618–626

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