Completeness of photon-added squeezed vacuum and one-photon-states and of photon-added coherent states on a circle

Physics – Quantum Physics

Scientific paper

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18 pages, 1 figure, LaTeX 2e, amssym, graphics, to appear in PLA

Scientific paper

10.1016/S0375-9601(01)00554-0

A discrete completeness relation and a continuous one with a positive measure
are found for the photon-added squeezed vacuum states. Extension to the
photon-added squeezed one-photon states is considered. Photon-added coherent
states on a circle are introduced. Their normalization and unity resolution
relation are given.

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