From EPR Wave Function to Bi-Particle Entangled State Representation

Tan Yuan-he

The eigenstate existing in the problem of EPR paradox is introduced.The commutation of related operators is analyzed and the wave-function in coordinate representation of the eigenstate is verified and its physical signification is discussed.The eigenstate is expended in the direct product space of the moment eigenstates of a two-particle system,subsequently the wave-function in momentum representation is obtained.The relation of the form of the wave-function in momentum representation and the selection of the origin of coordinates,including its physical meaning was analyzed.Results showed that the eigenstate was a entangled state of the coordinate and momentum.

Hong-Yi Fan, Hailing Cheng

Hong-Yi Fan, Junhua Chen

Rui He

We show that the state vector of the wave function of Einstein, Podolsky, and Rosen, 1935, (EPR) is a special entangled state representation. Then, taking the entangled state representation as an intermediary, we reveal the intrinsic connection between the HG mode and the LG mode in paraxial optics. Finally, we study how to generate the entangled state representation using an optical beam splitter.

Wen-Jian Yu, Hong‐Chun Yuan, Ji‐Suo Wang

Ji‐Suo Wang, Meng Xiang-Guo, Liang Bao-Long

Based on the Einstein, Podolsky, and Rosen (EPR) entangled state representation, this paper introduces the wave function for the squeezed atomic coherent state (SACS), which turns out to be just proportional to a single-variable ordinary Hermite polynomial of order 2 j. As important applications of the wave function, the Wigner function of the SACS and its marginal distribution are obtained and the eigenproblems of some Hamiltonians for the generalized angular momentum system are solved.