Interpolating coherent states for Heisenberg-Weyl and single-photon SU(1,1) algebras
نویسنده
چکیده
New quantal states which interpolate between the coherent states of the Heisenberg-Weyl (W3) and SU(1,1) algebras are introduced. The interpolating states are obtained as the coherent states of a closed and symmetric algebra which interpolates between the W3 and SU(1,1) algebras. The overcompleteness of the interpolating coherent states is established. Differential operator representations in suitable spaces of entire functions are given for the generators of the algebra. A nonsymmetric set of operators to realize the W3 algebra is provided and the relevant coherent states are studied. Email: [email protected]
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