Interpolating Coherent States for Heisenberg-Weyl and Single-Photon SU(1,1) Algebras

Details Interpolating Coherent States for Heisenberg-Weyl and Single-Photon SU(1,1) Algebras Interpolating Coherent States for Heisenberg-Weyl and Single-Photon SU(1,1) Algebras

2001-11-21

arxiv.org/abs/quant-ph/0111111v1

Physics

Quantum Physics

13 pages nd 5 ps figures

Scientific paper

10.1088/0305-4470/35/31/315

New quantal states which interpolate between the coherent states of the Heisenberg_Weyl 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 two 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 Heisenberg-Weyl algebra is provided and the relevant coherent states are studied.

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