Speaker
Prof.
Vladimir Man'ko
Description
The relation of Wigner function with fair probability distribution called
tomographic distribution or quantum tomogram associated with the quantum
state is reviewed. The connection of the tomographic picture of quantum
mechanics with the integral Radon transform of the Wigner quasidistribution
is discussed. The Wigner-Moyal equation for the Wigner function is presented
in the form of kinetic equation for the tomographic probability distribution
both in quantum mechanics and in the classical limit of Liouville equation.
The calculation of moments of physical observables in terms of integrals with
the state tomographic probability disatributions is constructed having
a standard form of averaging in the probability theory. New uncertainty relations
for the position and momentum are written in terms of optical tomograms suitable
for direct experimental check. Some recent experimnts on checking the uncertainty
relations including entropic ones are discussed.
