Excited Binomial States and Excited Negative Binomial States of the Radiation Field and Some of Their Statistical Properties |
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Authors: | Xiao-Guang Wang Hong-Chen Fu |
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Institution: | (1) Laboratory of Optical Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100080, China;(2) Institute of Theoretical Physics, Northeast Normal University, Changchun, 130024, China |
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Abstract: | We introduce excited binomial states and excited negative binomial states of theradiation field by repeated application of the photon creation operator on binomialstates and negative binomial states. They reduce to Fock states and excitedcoherent states in certain limits and can be viewed as intermediate states betweenFock states and coherent states. We find that both the excited binomial statesand excited negative binomial states can be exactly normalized in terms ofhypergeometric functions. Base on this interesting characteristic, some of thestatistical properties are discussed. |
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