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

Il Nuovo Cimento B

Some new operator identities for ordering quantum-mechanical rotation operators derived by the IWOP technique

Hong-Yi Fan, Hongqi Li, Xing-Lei Xu

Published Mar 1, 2009• 0 citations
Publisher
DOI
10.1393/ncb/i2009-10765-y

Related papers

New Operator Identities and Combinatorics Studied by Virtue of IWOP Technique

Fan, Hong-Yi, Ouyang Ouyang +3 more

理论物理通讯：英文版•Jan 1, 2006•1 citation

Weyl Ordering Operator Formula Derived by IWOP Technique and Its Application for Fresnel Operator

Fan, Hong-Yi, Hu +1 more

理论物理通讯：英文版•Jan 1, 2009•0 citations

Deriving new identities of Hermite-polynomial operators and Laguerre-polynomial operators by using representation theory and operator-ordering technique

Jun Zhou, Hong-Yi Fan, Jun Song

Optik•May 31, 2012•6 citations

New fundamental quantum mechanical operator-ordering identities for the coordinate and momentum operators

Hong-Yi Fan

Science China Physics Mechanics and Astronomy•Mar 25, 2012•19 citations

Entangled state representation for deriving new operator identities regarding to two-variable Hermite polynomial

Hong-Yi Fan, Hong-chun Yuan

In this paper, by virtue of the entangled state representation we concisely derive some new operator identities regarding to two-variable Hermite polynomial (TVHP). By them and the technique of integration within an ordered product (IWOP) of operators we further derive new generating function formulas of TVHP. They are useful in quantum optical theoretical calculations. It is seen from this work that by combining the IWOP technique and quantum mechanical representations one can derive some new integration formulas even without really performing the integration.

arXiv:1011.5943•Nov 27, 2010•0 citations

On the rotation operators in quantum mechanics

M. -C. Bouten

Physica•Jun 1, 1969•35 citations
In this paper, by virtue of the entangled state representation we concisely derive some new operator identities regarding to two-variable Hermite polynomial (TVHP). By them and the technique of integration within an ordered product (IWOP) of operators we further derive new generating function formulas of TVHP. They are useful in quantum optical theoretical calculations. It is seen from this work that by combining the IWOP technique and quantum mechanical representations one can derive some new integration formulas even without really performing the integration.