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arxiv: quant-ph/0311029 · v1 · submitted 2003-11-06 · 🪐 quant-ph

Generalized Intelligent States for an Arbitrary Quantum System

classification 🪐 quant-ph
keywords statesgeneralizedintelligentarbitraryfock-bargmannquantumrepresentationsystem
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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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