New Route to Deducing Integration Formulas by Virtue of the IWOP Technique

2011 ◽  
Vol 55 (3) ◽  
pp. 415-417 ◽  
Author(s):  
Hong-Yi Fan ◽  
Hong-Qi Li ◽  
Xing-Lei Xu
Keyword(s):  
Iwop Technique ◽  
The Iwop Technique ◽  
Integration Formulas

From coherent state representation to unitary operators via the IWOP technique

Optik ◽  
2019 ◽  
Vol 178 ◽  
pp. 372-378 ◽  
Author(s):  
Ying Xia ◽  
Liyun Hu ◽  
Huan Zhang ◽  
Haoliang Zhang
Keyword(s):  
Coherent State ◽  
Iwop Technique ◽  
Unitary Operators ◽  
State Representation ◽  
The Iwop Technique

NEW APPROACH FOR FINDING MULTIPARTITE ENTANGLED STATE REPRESENTATIONS VIA THE IWOP TECHNIQUE

2007 ◽  
Vol 22 (24) ◽  
pp. 4481-4494 ◽  
Author(s):  
HONG-YI FAN ◽  
SHU-GUANG LIU
Keyword(s):  
Entangled State ◽  
Iwop Technique ◽  
Entangled State Representation ◽  
Completeness Relation ◽  
State Representation ◽  
Gaussian Form ◽  
New Approach ◽  
The Iwop Technique ◽  
Multipartite Entangled State

We present a new approach to finding multipartite entangled state representation by decomposing normally ordered Gaussian-form operator in completeness relation, the technique of integration within an ordered product (IWOP) of operators is essential in this searching.

ENTANGLED STATES, SQUEEZED STATES GAINED VIA THE ROUTE OF DEVELOPING DIRAC'S SYMBOLIC METHOD AND THEIR APPLICATIONS

2004 ◽  
Vol 18 (10n11) ◽  
pp. 1387-1455 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Quantum Optics ◽  
Fourier Optics ◽  
Entangled States ◽  
Entangled State ◽  
Squeezed States ◽  
Iwop Technique ◽  
The Iwop Technique ◽  
Operator Ordering ◽  
Symbolic Method ◽  
Interdisciplinary Study

Via the route of developing Dirac's symbolic method by virtue of the technique of integration within an ordered product (IWOP) of operators we derive various entangled state representations, squeezed states, and operator ordering formulae. We show how the entangled states can be applied to many aspects of quantum optics theory. The applications of the entangled states in the interdisciplinary study of quantum optics and Fourier optics are also introduced. All these discussions exhibit the power of Dirac's symbolic method with the aid of the IWOP technique.

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