Coherent and Semiclassical States of a Charged Particle in a Constant Electric Field

T. C. Adorno; A. S. Pereira

doi:10.1007/s11182-018-1376-8

Coherent and Semiclassical States of a Charged Particle in a Constant Electric Field

T. C. Adorno^*
, A. S. Pereira

^*Corresponding author for this work

Tomsk State University
Tomsk Polytechnic University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The method of integrals of motion is used to construct families of generalized coherent states of a nonrelativistic spinless charged particle in a constant electric field. Families of states, differing in the values of their standard deviations at the initial time, are obtained. Depending on the initial values of the standard deviations, and also on the electric field, it turns out to be possible to identify some families with semiclassical states.

Original language	English
Pages (from-to)	133-145
Number of pages	13
Journal	Russian Physics Journal
Volume	61
Issue number	1
DOIs	https://doi.org/10.1007/s11182-018-1376-8
Publication status	Published - 1 May 2018
Externally published	Yes

Keywords

Schrödinger equation
coherent states
semiclassical states

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10.1007/s11182-018-1376-8

Cite this

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abstract = "The method of integrals of motion is used to construct families of generalized coherent states of a nonrelativistic spinless charged particle in a constant electric field. Families of states, differing in the values of their standard deviations at the initial time, are obtained. Depending on the initial values of the standard deviations, and also on the electric field, it turns out to be possible to identify some families with semiclassical states.",

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AB - The method of integrals of motion is used to construct families of generalized coherent states of a nonrelativistic spinless charged particle in a constant electric field. Families of states, differing in the values of their standard deviations at the initial time, are obtained. Depending on the initial values of the standard deviations, and also on the electric field, it turns out to be possible to identify some families with semiclassical states.

KW - Schrödinger equation

KW - coherent states

KW - semiclassical states

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Coherent and Semiclassical States of a Charged Particle in a Constant Electric Field

Abstract

Keywords

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