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

Abstract

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.

13 pages nd 5 ps figures

References in corpus (2)

• SU(2) and SU(1,1) algebra eigenstates: A unified analytic approach to coherent and intelligent states
• States interpolating between number and coherent states and their interaction with atomic systems

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