Coherent and generalized intelligent states for infinite square well potential and nonlinear oscillators

Details Coherent and generalized intelligent states for infinite square well potential and nonlinear oscillators Coherent and generalized intelligent states for infinite square well potential and nonlinear oscillators

2003-12-13

arxiv.org/abs/quant-ph/0312122v1

IJMPB, Vol 16, 3915-3937 (2002)

Physics

Quantum Physics

Scientific paper

10.1142/S0217979202014656

This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system $[ 1] $. We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states \`{a} la Gazeau-Klauder and those \`{a} la Klauder-Perelomov, we derive the generalized intelligent states in analytical ways.

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