Semi-classical behavior of Pöschl-Teller coherent states

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Published 11 January 2011 Europhysics Letters Association
, , Citation H. Bergeron et al 2010 EPL 92 60003 DOI 10.1209/0295-5075/92/60003

0295-5075/92/6/60003

Abstract

We present a construction of semi-classical states for Pöschl-Teller potentials based on a supersymmetric quantum mechanics approach. The parameters of these "coherent" states are points in the classical phase space of these systems. They minimize a special uncertainty relation. Like standard coherent states they resolve the identity with a uniform measure. They permit to establish the correspondence (quantization) between classical and quantum quantities. Finally, their time evolution is localized on the classical phase space trajectory.

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10.1209/0295-5075/92/60003