Eigenmodes of fractional Hankel transform derived by the entangled-state method.
Using the entangled-state method in quantum mechanics, we find that the eigenmodes of the fractional Hankel transform are two-variable Hermite-Gaussian functions that can be rewritten in a clearer form as Laguerre polynominals.
Fan
Hong-Yi
HY
Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China. Fhym@sjtu.edu.cn
Lu
Hai-Liang
HL