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arXiv · 1201.0955

Coherent states and related quantizations for unbounded motions

V. G. Bagrov·J. -P. Gazeau·D. M. Gitman·A. D. Levin
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Abstract

We build coherent states (CS) for unbounded motions along two different procedures. In the first one we adapt the Malkin-Manko construction for quadratic Hamiltonians to the motion of a particle in a linear potential. A generalization to arbitrary potentials is discussed. The second one extends to continuous spectrum previous constructions of action-angle coherent states in view of a consistent energy quantization.

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V. G. Bagrov, J. -P. Gazeau, D. M. Gitman, A. D. Levin. 2012-01-04. Coherent states and related quantizations for unbounded motions. https://doi.org/10.1088/1751-8113/45/12/125306

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