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感应电偶极子系统中的双非简谐振子。

A doubly anharmonic oscillator in an induced electric dipole system.

作者信息

Bakke K, Salvador C

机构信息

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil.

出版信息

Proc Math Phys Eng Sci. 2018 Sep;474(2217):20170881. doi: 10.1098/rspa.2017.0881. Epub 2018 Sep 5.

DOI:10.1098/rspa.2017.0881
PMID:30333693
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6189588/
Abstract

The behaviour of the interaction of the induced electric dipole moment of an atom with a uniform magnetic field and a non-uniform electric field are investigated in a rotating reference frame. An interesting aspect of this interaction is that it gives rise to an analogue of a spinless particle subject to the doubly anharmonic oscillator. Then, it is shown that analytical solutions to the Schrödinger equation can be obtained. Another point raised is that the quantum effects on the induced electric dipole moment can be observed if the uniform magnetic field possesses a discrete set of values.

摘要

在旋转参考系中研究了原子的感应电偶极矩与均匀磁场和非均匀电场相互作用的行为。这种相互作用的一个有趣方面是,它产生了一个类似于受双非简谐振子作用的无自旋粒子。然后,证明了可以得到薛定谔方程的解析解。另一个提出的观点是,如果均匀磁场具有一组离散值,就可以观察到对感应电偶极矩的量子效应。

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Some aspects of an induced electric dipole moment in rotating and non-rotating frames.旋转和非旋转参考系中感应电偶极矩的某些方面。
R Soc Open Sci. 2017 Jun 28;4(6):170541. doi: 10.1098/rsos.170541. eCollection 2017 Jun.
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Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame.在旋转参考系中,对一个没有永久电偶极矩且受克拉策尔势作用的中性粒子的朗道型系统的影响。
Proc Math Phys Eng Sci. 2016 Jun;472(2190):20150858. doi: 10.1098/rspa.2015.0858.
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