Generalized coherent and intelligent states for exact solvable quantum systems
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🧮 math-ph
math.MP
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statescoherentgeneralizedintelligentanalyticalgazeau-klauderperelomovquantum
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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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