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

Abstract

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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