Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra

Details Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra

2003-02-26

arxiv.org/abs/quant-ph/0302190v2

J.Phys.A36:8497-8506,2003

Physics

Quantum Physics

LaTeX2e file, 13 pages, 6 EPS figures. New references added. The present is a reorganized and simplified version

Scientific paper

10.1088/0305-4470/36/31/311

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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