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Egyptian journal of solids

Statistical Properties of the Excited Binomial States

Published Dec 1, 2003• 1 citation
Publisher

Abstract

The excited binomial state of the radiation field has been recentlyintroduced by repeated application of the photon creation operator on binomialstates. In this paper the Glauber second order correlation functions, thequasiprobability distribution functions (Winger function and Q -function) forsuch states are examined.
DOI
10.21608/ejs.2003.150156

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We introduce excited binomial states and excited negative binomial states of the radiation field by repeated application of the photon creation operator on binomial states and negative binomial states. They reduce to Fock states and excited coherent states in certain limits and can be viewed as intermediate states between Fock states and coherent states. We find that both the excited binomial states and excited negative binomial states can be exactly normalized in terms of hypergeometric functions. Base on this interesting character, some of the statistical properties are discussed.
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