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|Title:||Quantum and classical geometric phase of the time-dependent harmonic oscillator||Authors:||Wang, X.-B.
|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 - Atomic, Molecular, and Optical Physics 62 (3) : 1-4. ScholarBank@NUS Repository.||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. ©2000 The American Physical Society.||Source Title:||Physical Review A - Atomic, Molecular, and Optical Physics||URI:||http://scholarbank.nus.edu.sg/handle/10635/114377||ISSN:||10502947|
|Appears in Collections:||Staff Publications|
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