a new derivation of the quantum boltzmann transport equation for the fermion system from the quantum time evolution equation for the wigner distribution function is presented. the method exhibits the origin of the time - irreversibility of the boltzmann equation. in the present work, the spin dependent and indistinguishibility of particles are also considered.

here, we have considered the husimi and wigner distribution functions. we have, inparticular, shown how the uncertainty principle works for the two cases of simple and damped harmonicoscillators when either of these two distributions are used. the conclusion shows that the husimidistribution function remains non-negative through the phase space but it does not always satisfies theuncertainty pr...

A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.

The on-axis intensity distribution, or the Strehl ratio versus defocus, is described in a phase-space domain in terms of the Wigner distribution function. A coordinate transformation that is defined for a general annular aperture is employed to convert the pupil amplitude transmittance into a one-dimensional function. We show that the single display of the Wigner distribution function associate...

Among many representations of the quantum state, the Wigner function offers an appealing possibility to describe quantum phenomena using the classical-like concept of phase space [1]. The Wigner function provides complete information on the state of a system, and it allows one to evaluate any quantum observable by phase space integration with an appropriate Wigner-Weyl ordered expression. Recen...

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 ...

The Wigner quasi-probability distribution function is a familiar tool to many working in quantum and atom optics [1]. It is primarily used in the classical-quantum correspondence where the appearance of positive and negative regions of the Wigner function gives easily understood information concerning the probability concentrations and quantum interferences present within the quantum state [2]....