Negative hypergeometric states of the quantized radiation field

We introduce the negative hypergeometric states of the quantized radiation field. The importance of these states lies in the. fact that they interpola te between the binomial states and negative binomial states, and tend to th em in two different limits. In some other limiting cases, they degenerate t o the number, coherent and Susskind-Glogower phase states, respectively. It is shown that some nonclassical properties of these states, such as antibu nching effect and sub-Poissonian statistics, also display intermediary beha vior. (C) 1998 Published by Elsevier Science B.V.