Semi-classical behavior of Pöschl-Teller coherent states - Archive ouverte HAL
Article Dans Une Revue EPL - Europhysics Letters Année : 2010

Semi-classical behavior of Pöschl-Teller coherent states

Résumé

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.

Dates et versions

hal-03742922 , version 1 (02-08-2022)

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Citer

Hervé Bergeron, Jean-Pierre Gazeau, P. Siegl, Ahmed Youssef. Semi-classical behavior of Pöschl-Teller coherent states. EPL - Europhysics Letters, 2010, 92, pp.60003. ⟨10.1209/0295-5075/92/60003⟩. ⟨hal-03742922⟩
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