New Operator Identities and Combinatorics Studied by Virtue of IWOP Technique

Hong-Yi Fan, Haider R. Zaidi

Fan Hong-Yi, Ou-Yang Jing, Zhonghua Jiang

Using the coherent state representation we derive some new operator identities and study some mathematical relations in combinatorics. The technique of integral within an ordered product (IWOP) of operators plays an essential role in realizing our goal.

Leon W. Cohen

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

We point out a new route to deducing integration formulas, i.e., using the technique of integration within an ordered product (IWOP) of operators we derive some new integration formulas, which seems concise. As a by-product, some new operator identities also appear.

Hong‐Chun Yuan, Heng-Mei Li, Xuefen Xu

By virtue of the entangled state representation we concisely derive some new operator identities with regard to the 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 the 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.

Douglas Farenick, Ali S. Kavruk, Vern I. Paulsen +1 more