WKB expansion for the angular momentum and the Kepler problem: from the torus quantization to the exact one

Details WKB expansion for the angular momentum and the Kepler problem: from the torus quantization to the exact one WKB expansion for the angular momentum and the Kepler problem: from the torus quantization to the exact one

1996-03-29

arxiv.org/abs/chao-dyn/9603014v1

J.Phys.A30:1719-1729,1997

Physics

High Energy Physics

High Energy Physics - Theory

16 pages plain Latex file, no figures. submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/30/5/032

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

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