Phys. Rev. Lett. 67, 1941–1944 (1991)Quantization of chaosReceived 16 April 1991; published in the issue dated 7 October 1991 We study a rule for quantizing chaos based on the dynamical zeta function defined by a Euler product over the classical periodic orbits as suggested by Gutzwiller’s semiclassical trace formula. A test of our approximate quantization formula is carried out for the planar hyperbold billiard, which shows that at least the first 150 quantum energy levels can be generated. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.67.1941
DOI:
10.1103/PhysRevLett.67.1941
PACS:
05.45.+b, 03.65.-w
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.