来自经典谐波振荡器单参数达尔布克斯变换的奇异参量振荡器

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2024-11-01 DOI:10.1016/j.aop.2024.169830

H.C. Rosu, J. de la Cruz

引用次数: 0

摘要

以 sin(ω0t) 和 cos(ω0t) 为种子解，介绍并详细讨论了通过对经典谐波振荡器进行单参数达尔布变形/变换而得到的奇异参量振荡器。还研究了这些参量振荡器相应的厄马科夫-刘易斯可积分性问题。结果表明，它们的 Ermakov-Lewis 不变量不依赖于变形参数，并且无奇异性。

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Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator

The singular parametric oscillators obtained from the one-parameter Darboux deformation/ transformation effected upon the classical harmonic oscillator are introduced and discussed in some detail using

sin (ω_{0} t)

and

cos (ω_{0} t)

as seed solutions. The corresponding Ermakov–Lewis integrability problem of these parametric oscillators is also studied. It is shown that their Ermakov–Lewis invariants do not depend on the deformation parameter and are singularity-free.

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.