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AbstractAbstract
[en] In this paper we study quantum–classical correspondence of a periodically driven two-dimensional (2D) anisotropic-oscillator. In terms of the time-dependent canonical transformation the stationary Lissajous orbits are found along with the Hannay’s angle. On the other hand, the stationary wave functions are derived analytically with the help of the generalized gauge transformation. The Berry phase in the original gauge is found to be times the nonadiabatic Hannay’s angle with the integer number n being the eigenstate index. By using the SU(2) coherent superposition of degenerate 2D-eigenstates for a fixed energy we construct the stationary wave function, the probability cloud of which is shown to coincide perfectly with the classical orbits. (paper)
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Available from http://dx.doi.org/10.1088/0031-8949/90/6/065207; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Physica Scripta (Online); ISSN 1402-4896;
; v. 90(6); [7 p.]

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