On the Tomographic Picture of Quantum Mechanics
arXiv:1004.0102 · doi:10.1016/j.physleta.2010.04.056
Abstract
We formulate necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state. We establish a connection between the (re)construction by means of symplectic tomograms with the construction by means of Naimark positive-definite functions on the Weyl-Heisenberg group. This connection is used to formulate properties which guarantee that tomographic probabilities describe quantum states in the probability representation of quantum mechanics.
10 pages,latex,submitted to Physics Letters A