New Approach for Calculating Tomograms of Quantum States by Virtue of the IWOP Technique

We show that for tomographic approach there exist two mutual conjugate quantum states|p,σ,τ>and|x,μ,ν>（named the intermediate coordinate-momentum representation）,and the two Radon transforms of the Wigneroperator are just the pure-state density matrices|p>;<p|and|x>;<x|respectively.As a result,the tomogramof quantum states can be considered as the module-square of the states’ wave function in these two representations.Throughout the paper we fully employ the technique of integration within an ordered product of operators.In this waywe establish a new convenient formalism of quantum tomogram.