Solving Laguerre-Gauss Mode Eigenvectors and Eigenfunctions in Entangled State Representation  

作　　者：FAN Hong-Yi GAO Wei-Bo 

机构地区：[1]Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China [2]Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

出　　处：《Communications in Theoretical Physics》2006年第4期617-620,共4页理论物理通讯（英文版）

基　　金：The project supported by the President Foundation of the Chinese Academy of Sciences

摘　　要：We solve the Laguerre-Gauss mode eigenvectors and eigenfunctions in the entangled state representation by searching for common eigenvectors of the 2-dimensional harmonic oscillator＇s total energy operator and the angular momentum operator, We find that in the entangled state representation the eigen-solution satisfies the Hukuhara equation, and its solution is confluent hypergeometric function.

关 键 词：Laguerre-Gauss modes entangled state representation 

分 类 号：O413[理学—理论物理]