Novel rule for quantizing chaos
- 16 March 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 68 (11) , 1629-1632
- https://doi.org/10.1103/physrevlett.68.1629
Abstract
Numerical tests of a novel semiclassical quantization rule are carried out for three strongly chaotic systems: the hyperbolic billiard, Artin’s billiard, and the Hadamard-Gutzwiller model. The results demonstrate that this novel rule is very effective and capable of generalizing sensible approximations to the quantal energy levels.Keywords
This publication has 15 references indexed in Scilit:
- Chaotic spectroscopyPhysical Review Letters, 1992
- Staircase functions, spectral rigidity, and a rule for quantizing chaosPhysical Review A, 1992
- Selberg’s ζ function and the quantization of chaosPhysical Review A, 1991
- Quantum eigenvalues from classical periodic orbitsPhysical Review Letters, 1991
- Quantization of chaosPhysical Review Letters, 1991
- A rule for quantizing chaos?Journal of Physics A: General Physics, 1990
- Generalized periodic-orbit sum rules for strongly chaotic systemsPhysics Letters A, 1990
- Chaos in Classical and Quantum MechanicsPublished by Springer Nature ,1990
- Quantum Chaos of the Hadamard-Gutzwiller ModelPhysical Review Letters, 1988
- Periodic Orbits and Classical Quantization ConditionsJournal of Mathematical Physics, 1971