H. Bergeron et al 2010 EPL 92 60003 doi:10.1209/0295-5075/92/60003
H. Bergeron1, J.-P. Gazeau2, P. Siegl2,3,4 and A. Youssef2
Show affiliationsWe 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.
Issue 6 (December 2010)
Received 21 July 2010, accepted for publication 28 November 2010
Published 11 January 2011
H. Bergeron et al 2010 EPL 92 60003
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