Generating All Wigner Functions

Details Generating All Wigner Functions Generating All Wigner Functions

2000-11-15

arxiv.org/abs/hep-th/0011137v2

J.Math.Phys.42:2396,2001

Physics

High Energy Physics

High Energy Physics - Theory

LaTex2e, 21 pages

Scientific paper

10.1063/1.1366327

In the context of phase-space quantization, matrix elements and observables result from integration of c-number functions over phase space, with Wigner functions serving as the quasi-probability measure. The complete sets of Wigner functions necessary to expand all phase-space functions include off-diagonal Wigner functions, which may appear technically involved. Nevertheless, it is shown here that suitable generating functions of these complete sets can often be constructed, which are relatively simple, and lead to compact evaluations of matrix elements. New features of such generating functions are detailed and explored for integer-indexed sets, such as for the harmonic oscillator, as well as continuously indexed ones, such as for the linear potential and the Liouville potential. The utility of such generating functions is illustrated in the computation of star functions, spectra, and perturbation theory in phase space.

Affiliated with

Also associated with

No associations

Rating

Generating All Wigner Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generating All Wigner Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generating All Wigner Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-251275