Physics – Quantum Physics
Scientific paper
2010-07-22
Physics
Quantum Physics
7 pages, 2 figures, 1 animation
Scientific paper
We present a construction of semi-classical states for P\"oschl-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.
Bergeron Hervé
Gazeau Jean Pierre
Siegl Petr
Youssef Ahmed
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