Generalized Entangled Wigner Operator for Unifying Three Quantization Schemes of Entangled Systems

2014 ◽  
Vol 54 (6) ◽  
pp. 1805-1817 ◽  
Author(s):  
Xing-lei Xu ◽  
Shi-Min Xu ◽  
Hong-qi Li ◽  
Hong-Yi Fan
Keyword(s):  
Wigner Operator

Fractional Radon Transform and Transform of Wigner Operator

2003 ◽  
Vol 39 (2) ◽  
pp. 147-150 ◽  
Author(s):  
Fan Hong-Yi ◽  
Chen Jun-Hua
Keyword(s):  
Radon Transform ◽  
Wigner Operator

Entangled Projector and a New Approach for Obtaining the Entangled Wigner Operator

2013 ◽  
Vol 52 (8) ◽  
pp. 2879-2885 ◽  
Author(s):  
Xue-fen Xu ◽  
Zhen Wang ◽  
Hong-yi Fan
Keyword(s):  
New Approach ◽  
Wigner Operator

WEYL CORRESPONDENCE AND PATH INTEGRAL FOR TWO-MODE CORRELATED SYSTEM

1998 ◽  
Vol 13 (06) ◽  
pp. 433-439 ◽  
Author(s):  
HONG-YI FAN ◽  
YUE FAN
Keyword(s):  
Path Integral ◽  
Relative Position ◽  
Operator Theory ◽  
Total Momentum ◽  
Wigner Functions ◽  
Wigner Operator ◽  
Weyl Correspondence ◽  
The Common

The Weyl correspondence and Wigner operator theory for two-mode correlated system is developed on the common eigenstate basis <η| of two particles' total momentum and relative position. The development brings much convenience for calculating the Wigner functions of some two-mode correlated states and makes some Weyl correspondence derivation possible. Correspondingly, the path integral with midpoint prescription in <η| representation is also formulated.

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