Quasiprobability distributions of a new kind of even and odd nonlinear coherent states

Using a numerical computational method, quasiprobability distributionsof new kinds of even and odd nonlinear coherent states (EONLCS) areinvestigated. The results show that the distributions of the neweven nonlinear coherent states (NLCS) are distinct from those of the newodd NLCS and imply that the new EONLCS always exhibit some differentnonclassical effects. Finally, with the aid of newly introducedintermediate coordinate-momentum representation in quantum optics,the tomograms of the new EONLCS are calculated. This is a new way ofobtaining the tomogram function.