| Issue |
EPL
Volume 92, Number 6, December 2010
|
|
|---|---|---|
| Article Number | 60003 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/92/60003 | |
| Published online | 11 January 2011 | |
Semi-classical behavior of Pöschl-Teller coherent states
1
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
a
herve.bergeron@u-psud.fr
b
gazeau@apc.univ-paris7.fr
c
psiegl@apc.univ-paris7.fr
d
ahmed.youssef@apc.univ-paris7.fr
Received:
21
July
2010
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
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