A direct proof of completeness of squeezed odd-number states
Abstract
Description
A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squeezed number states $D(ξ)|2m+1>; D(ξ) = \exp((ξa^{\dagger2}-ξ^*{a^2})/2)$ is given. The proof entails evaluation of an integral involving Jacobi polynomials. This is achieved by the use of Racah identities.
6 pages, latex, no figures
6 pages, latex, no figures