A direct proof of completeness of squeezed odd-number states

Details A direct proof of completeness of squeezed odd-number states A direct proof of completeness of squeezed odd-number states

1996-08-23

arxiv.org/abs/quant-ph/9608036v1

Mod.Phys.Lett.A11:2805-2808,1996

Physics

Quantum Physics

6 pages, latex, no figures

Scientific paper

10.1142/S0217732396002794

A direct proof of the resolution of the identity in the odd sector of the
Fock space in terms of squeezed number states $D(\xi)|2m+1>; D(\xi) =
\exp(({\xi}a^{\dagger2}-{\xi}^*{a^2})/2)$ is given. The proof entails
evaluation of an integral involving Jacobi polynomials. This is achieved by the
use of Racah identities.

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