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Semi-classical behavior of Poschl-Teller coherent states
- 1.0428751 - ÚJF 2015 RIV FR eng J - Journal Article
Bergeron, H. - Gazeau, J.P. - Siegl, Petr - Youssef, A.
Semi-classical behavior of Poschl-Teller coherent states.
EPL. Roč. 92, č. 6 (2010), s. 60003. ISSN 0295-5075. E-ISSN 1286-4854
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Institutional support: RVO:61389005
Keywords : coherent states * Pöschl-Teller potential * quantization
Subject RIV: BE - Theoretical Physics
Impact factor: 2.753, year: 2010
We present a construction of semi-classical states for Poschl-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.
Permanent Link: http://hdl.handle.net/11104/0234034
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