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arxiv: quant-ph/0302190 · v2 · pith:GY6KLMSDnew · submitted 2003-02-26 · 🪐 quant-ph

Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra

classification 🪐 quant-ph
keywords epsilonhamiltonianscomplexnon-hermitiansusyhydrogenhydrogen-likespectra
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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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