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

• URL: http://arxiv.org/abs/2108.08958v1
• Date: Fri, 20 Aug 2021 01:09:59 GMT
• Title: Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures
• Authors: Kevin Zelaya and Oscar Rosas-Ortiz
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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