科研之友
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摘要
We show that for tomographic approach there exist two mutual conjugate quantum states vertical bar p,sigma,tau > and vertical bar x,mu,nu > (named the intermediate coordinate-momentum representation), and the two Radon transforms of the Wigner operator are just the pure-state density matrices vertical bar p >(sigma,tau,sigma,tau) < p vertical bar and vertical bar x >(lambda,nu,lambda,nu) < x vertical bar respectively. As a result, the tomograin of 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 way we establish a new convenient formalism of quantum tomogram.
