A direct proof of completeness of squeezed odd-number states

Abstract

A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squeezed number states $D(\xi )|2m+1>;D(\xi )=\exp ((\xi a^{†2}-{\xi }^{\ast }{a}^2)/2)$ is given. The proof entails evaluation of an integral involving Jacobi polynomials. This is achieved by the use of Racah identities.

arXiv comment6 pages, latex, no figures

Cited by in corpus (1)

• Ladder operators and squeezed coherent states of a 3-dimensional generalized isotonic nonlinear oscillator