Probabilistic Aspects of the Wigner Function

Probabilistic aspects of Wigner function

The Wigner function of quantum systems is an effective instrument to construct the approximate classical description of the systems for which the classical approximation is possible. During the last time, the Wigner function formalism is applied as well to seek indications of specific quantum properties of quantum systems leading to impossibility of the classical approximation construction. Mos...

Numerical Aspects of the Deterministic Solution of the Wigner Equation

Bounds on Integrals of the Wigner Function

The integral of the Wigner function over a subregion of the phasespace of a quantum system may be less than zero or greater than one. It is shown that for systems with one degree of freedom, the problem of determining the best possible upper and lower bounds on such an integral, over all possible states, reduces to the problem of finding the greatest and least eigenvalues of an hermitian operat...

Wigner Function and Decoherence

I briefly review the role of the Wigner function in the study of the quantum-to-classical transition through interaction with the environment (decoherence). My contribution to the Fifth Wigner Symposium in Vienna touches upon two of Wigner’s fields of interest: His work on the interpretation of quantum theory [1] and his discussion of quasi-probability functions as encoded in the famous Wigner ...

Beyond the Standard ”marginalizations” of Wigner Function

We discuss the problem of finding ”marginal” distributions within different tomographic approaches to quantum state measurement, and we establish analytical connections among them. PACS number(s): 03.65.-w, 42.50.-p