Quantum eigenvalues from classical periodic orbits
Abstract
We combine the cycle-expansion method with a functional equation to obtain highly excited semiclassical energy eigenvalues for chaotic Hamiltonian systems. Applications to the anisotropic Kepler problem and to a bounded billiard demonstrate the power of the method. The agreement with quantum results is surprisingly good even for highly excited states.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 1991
- DOI:
- 10.1103/PhysRevLett.67.2410
- Bibcode:
- 1991PhRvL..67.2410T
- Keywords:
-
- 05.45.+b;
- 03.65.Sq;
- Semiclassical theories and applications