Abstract
In1963,Glauber discovered coherent state.，he found coherent state has minimal uncertainty relation ,in this article, we analysis uncertainty relation of even and odd coherent state. The numerical method is used to study the influences of q and s deformation on the quantum statistical properties of even and odd qs-coherent states. It is shown that non-classical properties of even and odd qs-coherent states are very different from those of the usual even and odd coherent states. It is found that squeezing and effect appear for both even and odd qs-coherent states in some range of the parameters q, s and r. The smaller the q(q<1) and s, the larger the difference between even and odd qs-coherent states and the usual even and odd coherent states. On the basis of already realized electro magnetic field quantization, through the photon gcnerati0n and an operator，this article discusses the coherent state function OS photo—field and accordingly analyzes tile .Feature and feasibility of describing field by coherent state function.
In this paper, we calculate the uncertain relation of even and odd coherent state and discuss about their non-classical property, especially that of even coherent state．Even coherent state shows squeezing effect at some certain places，but odd coherent state has no this property．By means of P．B phase theory，phase properties of the photon— added coherent states is discussed．And the probability distribution of phase in the photon—added coherent states is calculated. We derive that the Photo—Added coherent states can exhibit phase squeezing.
