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

Acta Sinica Quantum Optica

Generating Function Formulas of Even-and Odd-Hermite Polynomials Derived by Using the Squeezed State Theory

吴卫锋 WU Wei-feng, 范洪义 FAN Hong-yi

Published Jan 1, 2014• 0 citations
Publisher
DOI
10.3788/asqo20142004.0279

Related papers

Hermite polynomial excited squeezed vacuum state: Generation and nonclassical properties

Shuang Xu, Xue-xiang Xu, Cunjin Liu +2 more

Optik•May 30, 2017•5 citations

Nonclassicality Generated by Applying Hermite–Polynomials Photon-Added Operator on the Even/Odd Coherent States

Gang Ren, Jian-ming Du, Wen‐Hai Zhang +1 more

International Journal of Theoretical Physics•Feb 28, 2017•2 citations

New generating function formulae of even- and odd-Hermite polynomials obtained and applied in the context of quantum optics

范洪义, 展德会

By combining the operator Hermite polynomial method and the technique of integration within an ordered product of operators, for the first time we derive the generating function of even- and odd-Hermite polynomials which will be useful in constructing new optical field states. We then show that the squeezed state and photon-added squeezed state can be expressed by even- and odd-Hermite polynomials.

中国物理B:英文版•Jan 1, 2014•2 citations

Arbitrary-order Hermite generating functions for obtaining arbitrary-order coherent and squeezed states

Michael Martin Nieto, D. Rodney Truax

arXiv:quant-ph/9506008•Physics Letters A•Nov 1, 1995•41 citations

New generating function formulae of even- and odd-Hermite polynomials obtained and applied in the context of quantum optics

Hong-Yi Fan, De-Hui Zhan

By combining the operator Hermite polynomial method and the technique of integration within an ordered product of operators, for the first time we derive the generating function of even- and odd-Hermite polynomials which will be useful in constructing new optical field states. We then show that the squeezed state and photon-added squeezed state can be expressed by even- and odd-Hermite polynomials.

Chinese Physics B•May 30, 2014•8 citations

Constructing squeezed states of light with associated Hermite polynomials

Kevin Zelaya, Véronique Hussin, Óscar Rosas-Ortiz

arXiv:2103.07082•The European Physical Journal Plus•May 1, 2021•9 citations