With the aid of the bosonic mode conversions in two different coordinate frames, we show that （1） the coordinate eigenstate is exactly the EPR entangled state representation, and （2） the Laguerre-Ganssian （LG） m...With the aid of the bosonic mode conversions in two different coordinate frames, we show that （1） the coordinate eigenstate is exactly the EPR entangled state representation, and （2） the Laguerre-Ganssian （LG） mode is exactly the wave function of the common eigenvector of the orbital angular momentum and the total photon number operator. Moreover, by using the conversion of the bosonic modes, the Wigner representation of the LG mode can be obtained directly. It provides an alternative to the method of Simon and Agarwal.展开更多
基金supported by the School-level Natural Key Research Projects of West Anhui University(Grant No.WXZR201710)
文摘With the aid of the bosonic mode conversions in two different coordinate frames, we show that （1） the coordinate eigenstate is exactly the EPR entangled state representation, and （2） the Laguerre-Ganssian （LG） mode is exactly the wave function of the common eigenvector of the orbital angular momentum and the total photon number operator. Moreover, by using the conversion of the bosonic modes, the Wigner representation of the LG mode can be obtained directly. It provides an alternative to the method of Simon and Agarwal.
