Fractional Hankel transform gained via non-unitary bosonic operator realization of angular momentum generators

摘要

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 theta(J(+) + J(-))} in the CAES. (c) 2005 Elsevier B.V. All rights reserved.