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IOP Publishing, Communications in Theoretical Physics, 4(45), p. 617-620

DOI: 10.1088/0253-6102/45/4/010

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

Journal article published in 2006 by Hy Fan, Fan Hong-Yi, Wb Gao ORCID, Gao Wei-Bo
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

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.