Phys. Rev. Lett. 77, 2662–2665 (1996)Semiclassical Quantization of Nonseparable Systems without Periodic OrbitsReceived 25 April 1996; published in the issue dated 23 September 1996 We present a new method for the semiclassical quantization of classically integrable as well as nonintegrable systems. The method is based on the semiclassical approximation of the equilibrium density matrix, using classical trajectories on the upside down potential surface. Periodic orbits do not play any special role. Explicit results are given for the case of the classically chaotic potential kx2y2/2. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.2662
DOI:
10.1103/PhysRevLett.77.2662
PACS:
05.45.+b, 03.65.Sq
|
|
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.