Semiclassical structure of chaotic resonance eigenfunctions

Details Semiclassical structure of chaotic resonance eigenfunctions Semiclassical structure of chaotic resonance eigenfunctions

2006-05-25

arxiv.org/abs/quant-ph/0605217v2

Phys. Rev. Lett. 97, 150406 (2006)

Physics

Quantum Physics

4 pages, 4 figures; some minor corrections, some changes in presentation

Scientific paper

10.1103/PhysRevLett.97.150406

We study the resonance (or Gamow) eigenstates of open chaotic systems in the semiclassical limit, distinguishing between left and right eigenstates of the non-unitary quantum propagator, and also between short-lived and long-lived states. The long-lived left (right) eigenstates are shown to concentrate as $\hbar\to 0$ on the forward (backward) trapped set of the classical dynamics. The limit of a sequence of eigenstates $\{\psi(\hbar)\}_{\hbar\to 0}$ is found to exhibit a remarkably rich structure in phase space that depends on the corresponding limiting decay rate. These results are illustrated for the open baker map, for which the probability density in position space is observed to have self-similarity properties.

Affiliated with

Also associated with

No associations

Rating

Semiclassical structure of chaotic resonance eigenfunctions 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 structure of chaotic resonance eigenfunctions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical structure of chaotic resonance eigenfunctions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119438