Volume 92, Number 6, December 2010
|Number of page(s)||5|
|Published online||11 January 2011|
Semi-classical behavior of Pöschl-Teller coherent states
Université Paris-Sud, ISMO, FRE 3363 - Bât. 351, F-91405 Orsay, France, EU
2 Université Paris Diderot Paris 7, Laboratoire APC - Case 7020, F-75205 Paris Cedex 13, France, EU
3 Czech Technical University in Prague, FNSPE - Břehová 7, 11519 Prague, Czech Republic, EU
4 Nuclear Physics Institute ASCR - 25068 Řež, Czech Republic, EU
Accepted: 28 November 2010
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.
PACS: 03.65.-w – Quantum mechanics
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.