Classical projected phase space density of billiards and its relation to the quantum Neumann spectrum

Details Classical projected phase space density of billiards and its relation to the quantum Neumann spectrum Classical projected phase space density of billiards and its relation to the quantum Neumann spectrum

2004-03-11

arxiv.org/abs/nlin/0403018v3

Physical Review Letters, 93 (2004) 204102

Nonlinear Sciences

Chaotic Dynamics

revtex, 5 figures

Scientific paper

10.1103/PhysRevLett.93.204102

A comparison of classical and quantum evolution usually involves a quasi-probability distribution as a quantum analogue of the classical phase space distribution. In an alternate approach that we adopt here, the classical density is projected on to the configuration space. We show that for billiards, the eigenfunctions of the coarse-grained projected classical evolution operator are identical to a first approximation to the quantum Neumann eigenfunctions. However, even though there exists a correspondence between the respective eigenvalues, their time evolutions differ. This is demonstrated numerically for the stadium and lemon shaped billiards.

Affiliated with

Also associated with

No associations

Rating

Classical projected phase space density of billiards and its relation to the quantum Neumann spectrum 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 Classical projected phase space density of billiards and its relation to the quantum Neumann spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical projected phase space density of billiards and its relation to the quantum Neumann spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452473