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Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra

Oscar Rosas-Ortiz·Rodrigo Munoz
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Abstract

It is shown that the radial part of the Hydrogen Hamiltonian factorizes as the product of two not mutually adjoint first order differential operators plus a complex constant epsilon. The 1-susy approach is used to construct non-hermitian Hamiltonians with hydrogen spectra. Other non-hermitian Hamiltonians are shown to admit an extra `complex energy' at epsilon. New self-adjoint hydrogen-like Hamiltonians are also derived by using a 2-susy transformation with complex conjugate pairs epsilon, (c.c) epsilon.

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Oscar Rosas-Ortiz, Rodrigo Munoz. 2003-02-26. Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra. https://doi.org/10.1088/0305-4470/36/31/311

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