On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms

• URL: http://arxiv.org/abs/2001.02794v2
• Date: Fri, 10 Jan 2020 16:55:49 GMT
• Title: On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms
• Authors: Kevin Zelaya, Sara Cruz y Cruz, and Oscar Rosas-Ortiz
• Abstract summary: The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued potential.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued potential, both of them with only real eigenvalues in their spectrum. The superpotential that links these systems is complex-valued, parameterized by the solutions of the Ermakov equation, and may be expressed either in nonlinear form or as the logarithmic derivative of a properly chosen complex-valued function. The non-Hermitian systems can be constructed to be either parity-time-symmetric or non-parity-time-symmetric.

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