Semiclassical density of degeneracies in quantum regular systems

Details Semiclassical density of degeneracies in quantum regular systems Semiclassical density of degeneracies in quantum regular systems

1999-08-13

arxiv.org/abs/quant-ph/9908044v1

Physics

Quantum Physics

25 pages, 7 figures . Submitted to PRE

Scientific paper

10.1088/0305-4470/33/12/303

The spectrum of eigenenergies of a quantum integrable system whose hamiltonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the plane energy-parameter, that is the number of crossings per unit of energy and unit of parameter, in terms of classical periodic orbits. We compare the results of the semiclassical formula with exact quantum calculations for two specific quantum integrable billiards.

Affiliated with

Also associated with

No associations

Rating

Semiclassical density of degeneracies in quantum regular systems 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 Semiclassical density of degeneracies in quantum regular systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical density of degeneracies in quantum regular systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-354982