P\"oschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics and geometry

Abstract

This work mainly addresses a construction of Gazeau-Klauder type coherent states for a P\"oschl-Teller model. Relevant characteristics are investigated. Induced geometry and statistics are studied. Then the Berezin - Klauder - Toeplitz quantization of the classical phase space observables is presented.

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