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Singular Bohr–Sommerfeld Rules

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Abstract:

The object of this paper is to present a geometrical formulation of the singular Bohr–Sommerfeld rules given in [8], in a more general context, including characteristic manifolds with several saddle points. Several examples are detailed and numerical checkings of the results are provided.

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Authors and Affiliations

  1. Institut Universitaire de France, , , , , , FR

    Yves Colin de Verdière

  2. Institut Fourier, Unité mixte de recherche, CNRS-UJF 5582, BP 74, 38402 Saint Martin d'Hères Cedex, France. E-mail: yves.colin-de-verdiere@ujf-grenoble.fr; bernard.parisse@ujf-grenoble.fr, , , , , , FR

    Bernard Parisse

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  1. Yves Colin de Verdière
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  2. Bernard Parisse
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Received: 22 October 1998 / Accepted: 10 March 1999

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Colin de Verdière, Y., Parisse, B. Singular Bohr–Sommerfeld Rules. Comm Math Phys 205, 459–500 (1999). https://doi.org/10.1007/s002200050686

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  • DOI: https://doi.org/10.1007/s002200050686

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