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Title: Quantum and classical geometric phase of the time-dependent harmonic oscillator
Authors: Wang, Xiang-Bin
Kwek, Leong Chuan
Oh, Choo Hiap
Issue Date: 2000
Citation: Wang, X. B., Kwek, L. C., & Oh, C. H. (2000). Quantum and classical geometric phase of the time-dependent harmonic oscillator. Physical Review A, 62(3), 032105.
Abstract: In a recent paper [Y. C. Ge and M. S. Child, Phys. Rev. Lett. 78, 2507 (1997)], by using a Gaussian wave function, Ge and Child presented a nonadiabatic relation between the quantum Berry phase and the classical Hannay angle for the time-dependent harmonic oscillator. In this paper, we present a perspective for this relation without the use of a trial wave function. In particular, an exact explicit formula for the cyclic evolution over the period T in the parameter space of action invariant is obtained; the -(n+1/2) relation between the quantum geometric angle and the Hannay angle is rigorously established.
ISSN: 1050-2947
Other Identifiers: 10.1103/PhysRevA.62.032105
Appears in Collections:Journal Articles

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