Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Theoretical Physics

Generalized deformed para-Bose oscillator and its coherent states

Ha Huy Bang

Published Apr 1, 1996• 2 citations
Publisher
DOI
10.1007/bf02330571

Related papers

Nonlinear coherent states of the para-Bose oscillator and their non-classical features

B. Mojaveri, Alireza Dehghani, R. Jafarzadeh Bahrbeig

The European Physical Journal Plus•Dec 1, 2018•22 citations

q-deformed oscillator associated with the Calogero model and its q-coherent state

Kyoungho Cho, Chaiho P. Rim, Dong Sup Soh +1 more

We present the q-deformed para-bose oscillators associated with the (two-body) Calogero model. The q-deformed coherent state is also constructed and its resolution of unity is demonstrated.

arXiv:hep-th/9312205•Journal of Physics A Mathematical and General•Apr 21, 1994•12 citations

Generalized oscillator and its coherent states

Вадим Васильевич Борзов

Theoretical and Mathematical Physics•Dec 1, 2007•3 citations

Superposition of single-mode para-Bose coherent states: Generation and nonclassical properties

B. Mojaveri, Alireza Dehghani, R. Jafarzadeh Bahrbeig

In this paper, we introduce two classes of superposed states generated by a superposition of two single-mode para-Bose coherent states (CS) with arbitrary relative phase factors. The first class is superposition of two opposite para-Bose CS and second class consists of two para-Bose CS, [Formula: see text] out of phase with each other. These states are reduced to the well-known superposed single-mode CS of the simple harmonic oscillator when the deformation parameter tends to one. We study the nonclassical properties of the introduced states by evaluating their para-Bose Fock state distribution, second-order squeezing, Klyshko’s and Mandel’s parameters. We investigate the essential role of coherent and deformation parameters on their nonclassicality. We show that some nonclassical properties of these states are different from those of the even and odd coherent states. Finally, we present a simple scheme for the physical generation of the introduced states.

International Journal of Modern Physics A•Aug 8, 2018•9 citations

Generalized para-Bose states

A. S. Pereira, A. S. Lemos, F. A. Brito

arXiv:2202.06721•The European Physical Journal Plus•Aug 24, 2022•2 citations

Para-Bose coherent states

J. K. Sharma, C. L. Mehta, E. C. G. Sudarshan

In place of the usual commutation relation [â,â†]=1 we consider the generalized commutation relation characteristic of the para-Bose oscillators, viz, [â, Ĥ]=Ĥ where Ĥ is the Hamiltonian (1/2)(ââ†+â†â). The number states and the representation of various operators in the basis formed by these states are obtained. We then introduce the para-Bose coherent states defined as the eigenstates of â for this generalized case. We consider some of the properties of these coherent states and also show that the uncertainty product 〈 (Δq̂)2〉 〈 (Δp̂)2〉 in this case could be made arbitrarily small.

Journal of Mathematical Physics•Oct 1, 1978•73 citations
In this paper, we introduce two classes of superposed states generated by a superposition of two single-mode para-Bose coherent states (CS) with arbitrary relative phase factors. The first class is superposition of two opposite para-Bose CS and second class consists of two para-Bose CS, [Formula: see text] out of phase with each other. These states are reduced to the well-known superposed single-mode CS of the simple harmonic oscillator when the deformation parameter tends to one. We study the nonclassical properties of the introduced states by evaluating their para-Bose Fock state distribution, second-order squeezing, Klyshko’s and Mandel’s parameters. We investigate the essential role of coherent and deformation parameters on their nonclassicality. We show that some nonclassical properties of these states are different from those of the even and odd coherent states. Finally, we present a simple scheme for the physical generation of the introduced states.
In place of the usual commutation relation [â,â†]=1 we consider the generalized commutation relation characteristic of the para-Bose oscillators, viz, [â, Ĥ]=Ĥ where Ĥ is the Hamiltonian (1/2)(ââ†+â†â). The number states and the representation of various operators in the basis formed by these states are obtained. We then introduce the para-Bose coherent states defined as the eigenstates of â for this generalized case. We consider some of the properties of these coherent states and also show that the uncertainty product 〈 (Δq̂)2〉 〈 (Δp̂)2〉 in this case could be made arbitrarily small.