New generalized binomial states of the quantized radiation field

Based on Abel's generalization of the binomial formula, we introduce a new type of normalized generalized binomial states \ M, p, q ] (q = 0 correspon ds to the ordinary binomial states), which are characteristic of a differen t photon emitting probability for a different energy level of an excited mo lecule undergoing M level vibrational relaxation. The photon number distrib ution and squeezing property of the new states are discussed. It is shown t hat q plays an essential role in displaying highly nonclassical behaviors. (C) 1999 Elsevier Science B.V. All rights reserved.