Abstract
By proposing new non-unitary Bose operator realization of angular momentum generators ( J − , J + , J 0 ) and finding that the charge-amplitude entangled states (CAES) introduced in [H.-y. Fan, Phys. Lett. A 313 (2003) 343] carry the representative space of them, we derive the integral kernel of optical fractional Hankel transform (FHT) by calculating the matrix element of exp { i θ ( J + + J − ) } in the CAES.
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