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

✍ Scribed by Xiao-Chun Gao; Jing-Bo Xu; Tie-Zheng Qian

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 343 KB
Volume: 204
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(90)90128-b

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✦ Synopsis

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.

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

✍ Xiao-Chun Gao; Jing-Bo Xu; Tie-Zheng Qian 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 73 KB

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