Semiclassical quantization via adiabatic invariance of classical action variables
- 1 January 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 33 (1) , 55-67
- https://doi.org/10.1103/physreva.33.55
Abstract
The semiclassical method based on the Einstein-Brillouin-Keller quantization of invariant phase-space tori and the hypothesis of adiabatic invariance of classical action variables is applied in the calculation of highly excited energy levels of two-dimensional coupled oscillator systems. The results obtained are in good agreement with quantum-mechanical calculations even in the regions where the corresponding classical dynamics becomes apparently irregular. General limitations of the method are discussed. DOI: http://dx.doi.org/10.1103/PhysRevA.33.55 © 1986 The American Physical SocietyKeywords
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