WKB expansion for the angular momentum and the Kepler problem: from the torus quantization to the exact one
نویسندگان
چکیده
We calculate the WKB series for the angular momentum and the non–relativistic 3-dim Kepler problem. This is the first semiclassical treatment of the angular momentum for terms beyond the leading WKB approximation. We explain why the torus quantization (the leading WKB term) of the full problem is exact, even if the individual torus quantization of the angular momentum and of the radial Kepler problem separately is not exact. PACS numbers: 03.65.-w, 03.65.Ge, 03.65.Sq Submitted to Journal of Physics A: Mathematical and General 1 e–mail: [email protected] 2 e–mail: [email protected]
منابع مشابه
Semiclassical Expansion for the Angular Momentum
The semiclassical method of torus quantization is just the first term of a certain h̄-expansion, usually called the WKB expansion. The method goes back to the early days of quantum mechanics and was developed by Bohr and Sommerfeld for onefreedom systems and separable systems, it was then generalized for integrable (but not necessarily separable) systems by Einstein [1], which is called EBK or t...
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