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Considerations of the duality in generalized coherent states formalism (2302.04245v1)
Published 8 Feb 2023 in quant-ph, math-ph, and math.MP
Abstract: In the paper, a pair of dual operators is introduced with which a dual pair of generalized displacement operators is constructed. With these entities it is shown that the Barut - Girardello and Klauder - Perelomov generalized coherent states are dual states. The characteristics of these coherent states are constructed, separately and comparatively.
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