Coherent States and Their Applications

Jean-Pierre Antoine, Fabio Bagarello, Jean‐Pierre Gazeau

Lei Wang, Geng Chai, Zhengwen Cao +3 more

Dušan Popov

In this paper we extend the applicability of Fox-Wright functions beyond mathematics, specifically in quantum physics. We focused our attention on a new application, on the connection between the Fox-Wright functions and the generalized coherent states formalism. We constructed the generalized coherent states in the Barut-Girardello manner, in which the Fox-Wright functions play the role of normalization functions, and we demonstrated that the Fox-Wright coherent states satisfy all general conditions imposed on the set of coherent states. In parallel, we examined the properties of both pure and mixed (thermal) Fox-Wright coherent states. All calculations were performed within the diagonal operators ordering technique (DOOT) using the Dirac's bra-ket formalism. Finally, we introduced some (specifically, integral) feedback elements that Fox-Wright coherent states induce in the theory of special functions, including a new integral representation of Fox-Wright functions.

Chon‐Fai Kam, Wei-Min Zhang, D.H. Feng

Maksim Kravchenko, Ed. A. Rudak, Т. Н. Корбут +1 more

Abstract A study is performed of the theory of coherent states’ applicability to solving statistical problems in the reactor physics. A mathematical description of the theory is provided in the formalism of both overlap integrals and operators of the creation and annihilation of phonons. The Poisson distribution is compared to coherent states, and the applicability of the formalism of the theory of coherent states to the physics of reactors is analyzed.

Hua Feng, Bo-Wen Si, Shu‐Lin Cong