The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit

Xiao Chun Gao; Jing Bo Xu; Tie Zheng Qian

doi:10.1016/0003-4916(90)90128-B

The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit

Xiao Chun Gao^*, Jing Bo Xu, Tie Zheng Qian

^*Corresponding author for this work

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

85 Citations (Scopus)

Abstract

In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then, the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase for the oscillator obtained. We proceed to use the exact solution to construct the coherent state and calculate the corresponding classical Hannay's angle.

Original language	English
Pages (from-to)	235-243
Number of pages	9
Journal	Annals of Physics
Volume	204
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(90)90128-B
Publication status	Published - 15 Nov 1990
Externally published	Yes

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10.1016/0003-4916(90)90128-B

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title = "The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit",

abstract = "In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then, the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase for the oscillator obtained. We proceed to use the exact solution to construct the coherent state and calculate the corresponding classical Hannay's angle.",

author = "Gao, \{Xiao Chun\} and Xu, \{Jing Bo\} and Qian, \{Tie Zheng\}",

year = "1990",

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doi = "10.1016/0003-4916(90)90128-B",

language = "English",

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T1 - The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit

AU - Gao, Xiao Chun

AU - Xu, Jing Bo

AU - Qian, Tie Zheng

PY - 1990/11/15

Y1 - 1990/11/15

N2 - In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then, the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase for the oscillator obtained. We proceed to use the exact solution to construct the coherent state and calculate the corresponding classical Hannay's angle.

AB - In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then, the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase for the oscillator obtained. We proceed to use the exact solution to construct the coherent state and calculate the corresponding classical Hannay's angle.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:A1990EK69900010

UR - https://openalex.org/W2056296213

UR - https://www.scopus.com/pages/publications/0040988228

U2 - 10.1016/0003-4916(90)90128-B

DO - 10.1016/0003-4916(90)90128-B

M3 - Journal Article

SN - 0003-4916

VL - 204

SP - 235

EP - 243

JO - Annals of Physics

JF - Annals of Physics

IS - 1

ER -

The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit

Abstract

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