Generalized Intelligent States for an Arbitrary Quantum System

Details Generalized Intelligent States for an Arbitrary Quantum System Generalized Intelligent States for an Arbitrary Quantum System

2003-11-06

arxiv.org/abs/quant-ph/0311029v1

J.Phys.A : Math. Gen 43, 5373-5387(2001)

Physics

Quantum Physics

Scientific paper

10.1088/0305-4470/34/26/307

Generalized Intelligent States (coherent and squeezed states) are derived for an arbitrary quantum system by using the minimization of the so-called Robertson-Schr\"odinger uncertainty relation. The Fock-Bargmann representation is also considered. As a direct illustration of our construction, the P\"oschl-Teller potentials of trigonometric type will be shosen. We will show the advantage of the Fock-Bargmann representation in obtaining the generalized intelligent states in an analytical way. Many properties of these states are studied.

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