时变非厄米振子的精确解:经典和量子图像

Q2 Physics and Astronomy

Quantum Reports Pub Date : 2021-08-20 DOI:10.3390/quantum3030030

K. Zelaya, O. Rosas‐Ortiz

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引用次数: 11

摘要

我们通过点变换将平稳谐振子与表现出非埃尔米特性的含时系统联系起来。新系统是完全可解的，具有所有实谱，并且对于所涉及的参数的适当值，过渡到埃尔米特配置。我们提供了Swanson振子的具体推广，其中包括作为特殊情况的Caldirola–Kanai模型。在经典和量子图中都给出了显式解。

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Exact Solutions for Time-Dependent Non-Hermitian Oscillators: Classical and Quantum Pictures

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 spectra, 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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来源期刊

Quantum Reports Physics and Astronomy-Physics and Astronomy (miscellaneous)

CiteScore

3.30

自引率

0.00%

发文量

审稿时长

10 weeks