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Coherent states in mathematical physics
About: Coherent states in mathematical physics is a research topic. Over the lifetime, 732 publications have been published within this topic receiving 32024 citations.
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TL;DR: In this article, the authors construct a quantum gauge phase space with singularities and its quantum counterpart by the tool of Kahler quantization, where the reduced phase space is a stratified Kahler space, and a corresponding costratification on the quantum level consists of a family of Hilbert subspaces corresponding to the strata in the classical phase space stratification.
4 citations
TL;DR: In this article, free coherent states for a system with two degrees of freedom are defined and it is shown that for a set of coherent states corresponding to an eigenvalue of the annihilation operator, a 2-adic parameter naturally appears.
Abstract: Free coherent states for a system with two degrees of freedom are defined. It is shown that for a set of coherent states corresponding to an eigenvalue of the annihilation operator, a 2-adic parameter naturally appears.
4 citations
4 citations
TL;DR: By making use of the Fock States of the q-deformed quantum oscillator which possesses the symmetry of quantum group, this article constructed the Glauber coherent state of q-Deformed Quantum Oscillator.
Abstract: By making use of the Fock States of the q-deformed quantum oscillator which possesses the symmetry of quantum group, we construct the Glauber coherent state of the q-deformed quantum oscillator (the q-Glauber coherent state ㄧα>q). We discuss the of completeness properties, particle number distribution, oscillator strength distribution and the minimal uncertainty principle of the q-Glauber coherent states, and point out that the coherent degree of the q-Glauber coherent state can be described by the parameter q.
4 citations