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We show that the well-known negative binomial states of the radiation fieldand their excitations are nonlinear coherent states. Excited nonlinear coherentstate are still nonlinear coherent states with different nonlinear functions.We finally give exponential form of the nonlinear coherent states and remarkthat the binomial states are not nonlinear coherent states.Comment: 10 pages, no figure

NEGATIVE BINOMIAL STATES OF THE RADIATION FIELD AND THEIR EXCITATIONS ARE NONLINEAR COHERENT STATES