Topic
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 paper, a set of generalized coherent states as eigenstates of the annihilation operator is proposed, which admit a resolution of identity with positive measure, guided by the classical action angle transformation and the correspondence principle.
Abstract: A set of generalized coherent states as eigenstates of the annihilation operator is proposed. These states are analytic functions of a complex variable and admit a resolution of identity with positive measure. Guided by the classical action angle transformation and the correspondence principle a formalism is developed for the construction of the annihilation operator for a given Hamiltonian.
3 citations
TL;DR: In this paper, the fermionic Fock space becomes a reproducing kernel Hilbert space of continuous holomorphic functions and coherent states are constructed in the sense of Gilmore and Perelomov for the Fock spaces.
Abstract: We construct the coherent states in the sense of Gilmore and Perelomov for the fermionic Fock space. Our treatment is from the outset adapted to the infinite-dimensional case. The fermionic Fock space becomes in this way a reproducing kernel Hilbert space of continuous holomorphic functions.
2 citations
TL;DR: In this article, the even and odd binomial states are eigenstates of the definite nonlinear combination of radiation field operators, which generalizes the nonlinear coherent state theory in quantum optics.
Abstract: We show that the even- and odd-binomial states are eigenstates of the definite nonlinear combination of radiation field operators, which generalizes the nonlinear coherent state theory in quantum optics.
2 citations
TL;DR: In this article, a simple method to obtain a superposition of coherent states on a circle, including Schrodinger cat states as a special case, via conditional measurement of the state of three level atoms interacting with a one mode cavity field was proposed.
Abstract: We propose a simple method to obtain a superposition of coherent states on a circle, including Schrodinger cat states as a special case, via conditional measurement of the state of three level atoms interacting with a one mode cavity field. In the low amplitude limit, very good approximation of Fock states can also be generated in this way.
2 citations
2 citations