On Bargmann Representations of Wigner Function

Details On Bargmann Representations of Wigner Function On Bargmann Representations of Wigner Function

2007-12-17

arxiv.org/abs/0712.2704v1

Physics

Quantum Physics

accepted for publication in J. Phys. A: Math. and Theor

Scientific paper

10.1088/1751-8113/41/5/055305

By using the localized character of canonical coherent states, we give a straightforward derivation of the Bargmann integral representation of Wigner function (W). A non-integral representation is presented in terms of a quadratic form V*FV, where F is a self-adjoint matrix whose entries are tabulated functions and V is a vector depending in a simple recursive way on the derivatives of the Bargmann function. Such a representation may be of use in numerical computations. We discuss a relation involving the geometry of Wigner function and the spacial uncertainty of the coherent state basis we use to represent it.

Affiliated with

Also associated with

No associations

Rating

On Bargmann Representations of Wigner Function 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 On Bargmann Representations of Wigner Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Bargmann Representations of Wigner Function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116248