Excited Binomial States and Excited Negative Binomial States of the Radiation Field and Some of their Statistical Properties

Details Excited Binomial States and Excited Negative Binomial States of the Radiation Field and Some of their Statistical Properties Excited Binomial States and Excited Negative Binomial States of the Radiation Field and Some of their Statistical Properties

1999-03-16

arxiv.org/abs/quant-ph/9903058v2

Int.J.Theor.Phys.39:1437-1444,2000

Physics

Quantum Physics

7 pages, 4 figures

Scientific paper

10.1023/A:1003619724681

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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