supported by the University Natural Science Foundation of Anhui Province,China (Grant No. KJ2011Z339);the National Natural Science Foundation of China (Grant No. 10874174)
By virtue of the coherent state representation of the newly introduced Fresnel operator and its group product property we obtain new decomposition of the Fresnel operator as the product of the quadratic phase operator...
Project supported by the Doctoral Scientific Research Startup Fund of Anhui University,China (Grant No. 33190059);the National Natural Science Foundation of China (Grant No. 10874174);the Research Fund for the Doctoral Program of Higher Education of China (New Teacher) (Grant No. 20113401120004);the Open Funds from the National Laboratory for Infrared Physics,Chinese Academy of Sciences (Grant No. 201117)
In terms of the coherent state evolution in phase space,we present a quantum mechanical version of the classical Liouville theorem.The evolution of the coherent state from |z〉to|sz-rz*〉 corresponds to the motion ...
Project supported by the Doctoral Scientific Research Startup Fund of Anhui University,China (Grant No. 33190059);the National Natural Science Foundation of China (Grant No. 10874174);the Research Fund for the Doctoral Program of Higher Education of China (New Teacher) (Grant No. 20113401120004)
By virtue of the entangled state representation (Hong-Yi Fan and J R Klauder 1994 Phys. Rev. A 49 704) and the two-mode squeezing operator's natural representation (Hong-Yi Fan and Yue Fan 1996 Phys. Rev. A 54 958...
supported by the Doctoral Scientific Research Startup Fund of Anhui University, China (Grant No. 33190059);the National Natural Science Foundation of China (Grant No. 10874174);the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20113401120004);the Open Funds from National Laboratory for Infrared Physics, Chinese Academy of Sciences (Grant No. 201117)
By using the two-mode Fresnel operator we derive a multiplication rule of two-dimensional (2D) Collins diffraction formula, the inverse of 2D Collins diffraction integration can also be conveniently derived in this ...
supported by the National Natural Science Foundation of China (Grant No. 10874174);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20070358009)
By virtue of the coherent state representation and the operator ordering method we find a new approach for transiting Hermite polynomials to Laguerre polynomials. We also derive the new reciprocal relation of Laguerre...