Article,

Exact quantum motion of a particle trapped by oscillating fields

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JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 38 (35): 7757-7763 (2005)
DOI: 10.1088/0305-4470/38/35/009

Abstract

The exact wavefunctions for a particle trapped by oscillating fields are obtained in terms of Mathieu functions with the help of linear invariants and the dynamical invariant method. In addition, we construct Gaussian wave packet solutions and calculate the quantum fluctuations in the coordinate and momentum as well as the quantum correlations between coordinate and momentum.

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