arXiv:nucl-th/9606060

Semiclassical Expansion for the Angular Momentum

Marko Robnik, Luca Salasnich

Published Jun 29, 1996• 0 citations

Abstract

After reviewing the WKB series for the Schrödinger equation we calculate the semiclassical expansion for the eigenvalues of the angular momentum operator. This is the first systematic semiclassical treatment of the angular momentum for terms beyond the leading torus approximation.

DOI: 10.48550/arxiv.nucl-th/9606060

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arXiv:nucl-th/9606060

Semiclassical Expansion for the Angular Momentum

Marko Robnik, Luca Salasnich

Published Jun 29, 1996• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.nucl-th/9606060

Related papers

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We calculate the WKB series for the angular momentum and the non-relativistic three-dimesional 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. In this way we derive Langer's rule, calculate the first correction to the leading Langer's term and conjecture the form of all higher terms.We calculate the WKB series for the angular momentum and the non-relativistic three-dimesional 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. In this way we derive Langer's rule, calculate the first correction to the leading Langer's term and conjecture the form of all higher terms.

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