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25 April 2024
 
  » arxiv » quant-ph/0302190

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Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra
Oscar Rosas-Ortiz ; Rodrigo Munoz ;
Date 26 Feb 2003
Journal J. Phys. A: Math. Gen 36 (2003) 8497-8506
Subject quant-ph
AbstractIt 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.
Source arXiv, quant-ph/0302190
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