Generalized coherent and intelligent states for exact solvable quantum systems

Details Generalized coherent and intelligent states for exact solvable quantum systems Generalized coherent and intelligent states for exact solvable quantum systems

2003-12-13

arxiv.org/abs/math-ph/0312040v1

J. Math. Phys. Vol 43, 714-733 (2002)

Physics

Mathematical Physics

Scientific paper

10.1063/1.1429321

The so-called Gazeau-Klauder and Perelomov coherent states are introduced for an arbitrary quantum system. We give also the general framework to construct the generalized intelligent states which minimize the Robertson-Schr\"odinger uncertainty relation. As illustration, the P\"oschl-Teller potentials of trigonometric type will be chosen. We show the advantage of the analytical representations of Gazeau-Klauder and Perelomov coherent states in obtaining the generalized intelligent states in analytical way.

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