New two-parametric family of exactly solvable Dirac Hamiltonians

Details New two-parametric family of exactly solvable Dirac Hamiltonians New two-parametric family of exactly solvable Dirac Hamiltonians

2008-07-09

arxiv.org/abs/0807.1422v2

Theor.Math.Phys. 159(2), 618-626 (2009)

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, accepted for publication in Theor. Math. Phys

Scientific paper

We construct a two-parametric family of exactly solvable Dirac Hamiltonians
by the Darboux transformation method. We obtain intertwining relations between
different members of the Hamiltonian family. We investigate the spectral
properties of the obtained Hamiltonians and the explicit forms of their
eigenfunctions.

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