A. Joshi et Asf. Obada, SOME STATISTICAL PROPERTIES OF THE EVEN AND THE ODD NEGATIVE BINOMIALSTATES, Journal of physics. A, mathematical and general, 30(1), 1997, pp. 81-97
New states of electromagnetic field, i.e. even and odd negative binomi
al states are introduced here. These states interpolate between the ev
en (odd) coherent states and the even (odd) quasi-thermal states. Vari
ous statistical properties of these states such as the mean photon num
ber, second-order coherence function, normal squeezing are calculated.
The Wigner function for these states are also discussed. These result
s may be useful for carrying out systematic study of the non-classical
properties of 'Schrodinger cat states' as one moves from even (odd) c
oherent state to even (odd) quasi-thermal state.