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arXiv · 2108.08958

Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures

Kevin Zelaya·Oscar Rosas-Ortiz
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Abstract

We associate the stationary harmonic oscillator with time-dependent systems exhibiting non-Hermiticity by means of point transformations. The new systems are exactly solvable, with all-real spectrum, and transit to the Hermitian configuration for the appropriate values of the involved parameters. We provide a concrete generalization of the Swanson oscillator that includes the Caldirola-Kanai model as a particular case. Explicit solutions are given in both, the classical and quantum pictures.

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Kevin Zelaya, Oscar Rosas-Ortiz. 2021-08-20. Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures. https://doi.org/10.3390/quantum3030030

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