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.
基金
The project supported by the President Foundation of the Chinese Academy of Sciences
