Periodic Orbit Quantization of Mixed Regular Chaotic Systems

Details Periodic Orbit Quantization of Mixed Regular Chaotic Systems Periodic Orbit Quantization of Mixed Regular Chaotic Systems

1999-02-27

arxiv.org/abs/chao-dyn/9903003v1

Phys. Rev. Lett., 82 (1999) 3038

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures, REVTEX, to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.82.3038

A general technique for the periodic orbit quantization of systems with near-integrable to mixed regular-chaotic dynamics is introduced. A small set of periodic orbits is sufficient for the construction of the semiclassical recurrence function up to, in principle, infinite length. As in our recent work the recurrence signal is inverted by means of a high resolution spectral analyzer (harmonic inversion) to obtain the semiclassical eigenenergies. The method is demonstrated for the hydrogen atom in a magnetic field. To our knowledge this is the first successful application of periodic orbit quantization in the deep mixed regular-chaotic regime.

Affiliated with

Also associated with

No associations

Rating

Periodic Orbit Quantization of Mixed Regular Chaotic 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 Periodic Orbit Quantization of Mixed Regular Chaotic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic Orbit Quantization of Mixed Regular Chaotic Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368584