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

Physics Letters A

Even and odd q-coherent state representations of the quantum Heisenberg-Weyl algebra

Fa-Bo Wang, Le‐Man Kuang

Published Sep 1, 1992• 23 citations
Publisher
DOI
10.1016/0375-9601(92)90449-v

Related papers

The k-component q-coherent state representations of the quantum Heisenberg-Weyl algebra

Le‐Man Kuang, Fa-Bo Wang, Gao-Jian Zeng

Physics Letters A•May 1, 1993•11 citations

Even and Odd Q -coherent State Representations of the Q -deformed Heisenberg-Weyl Algebra

Wang Fabo, Kuang Le-Man

We construct explicitly even and odd q -coherent states. These q -coherent states are introduced in terms of the q -functions defined in the paper. It is shown that the even and odd q -coherent states form a kind of representations of the q -deformed Heisenberg-Weyl algebra which is realized in the form of matrix q -differential operators in the even and odd q -coherent state space. We also analyse some different between the even and odd q -CSs and the usual even and odd CSs.

Chinese Physics Letters•Dec 1, 1992•1 citation

Even and odd q-coherent states and their optical statistics properties

Fa-Bo Wang, Le‐Man Kuang

The authors construct explicitly even and odd q-coherent states (qCSs), which are proved to form a representation of the quantum Heisenberg-Weyl algebra, and study their properties. It is shown that optical statistics properties of the even and odd qCSs are very different. They find that an even qCS exhibits squeezing but no antibunching effect and an odd qCS has antibunching effect but no squeezing for all finite-q values.

Journal of Physics A Mathematical and General•Jan 21, 1993•10 citations

Even and Odd Coherent States of Wigner Algebra

Won Sang Chung, Jan Křı́ž, HASSAN HASSANABADI

International Journal of Theoretical Physics•Jul 31, 2020•1 citation

On higher-order coherent states of the Weyl algebra

Reinhard Honegger, Alfred Rieckers

Letters in Mathematical Physics•Mar 1, 1992•11 citations

Probability distributions and coherent states of , and algebras

Hong-Chen Fu, Ryu Sasaki B

A new approach to probability theory based on quantum mechanical and Lie algebraic ideas is proposed and developed. The underlying fact is the observation that the coherent states of the Heisenberg-Weyl, su (2), , and algebras in certain symmetric (bosonic) representations give the `probability amplitudes' (or the `square roots') of the well known Poisson, binomial, multinomial, negative binomial and negative multinomial distributions in probability theory. New probability distributions are derived based on coherent states of the classical algebras , and in symmetric representations. These new probability distributions are simple generalization of the multinomial distributions with some added new features reflecting the quantum and Lie algebraic construction. As byproducts, simple proofs and interpretation of addition theorems of Hermite polynomials are obtained from the `coordinate' representation of the (negative) multinomial states. In other words, these addition theorems are higher rank counterparts of the well known generating function of Hermite polynomials, which is essentially the `coordinate' representation of the ordinary (Heisenberg-Weyl) coherent state.

arXiv:hep-th/9706034•Journal of Physics A Mathematical and General•Jan 23, 1998•7 citations
A new approach to probability theory based on quantum mechanical and Lie algebraic ideas is proposed and developed. The underlying fact is the observation that the coherent states of the Heisenberg-Weyl, su (2), , and algebras in certain symmetric (bosonic) representations give the `probability amplitudes' (or the `square roots') of the well known Poisson, binomial, multinomial, negative binomial and negative multinomial distributions in probability theory. New probability distributions are derived based on coherent states of the classical algebras , and in symmetric representations. These new probability distributions are simple generalization of the multinomial distributions with some added new features reflecting the quantum and Lie algebraic construction. As byproducts, simple proofs and interpretation of addition theorems of Hermite polynomials are obtained from the `coordinate' representation of the (negative) multinomial states. In other words, these addition theorems are higher rank counterparts of the well known generating function of Hermite polynomials, which is essentially the `coordinate' representation of the ordinary (Heisenberg-Weyl) coherent state.