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Bulletin of the American Mathematical Society

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The quantum mechanical spherical pendulum


Authors: R. Cushman and J. J. Duistermaat
Journal: Bull. Amer. Math. Soc. 19 (1988), 475-479
MSC (1985): Primary 58G25, 81C05
MathSciNet review: 956603
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References [Enhancements On Off] (What's this?)

  • 1. V. I. Arnol′d, Modes and quasimodes, Funkcional. Anal. i Priložen. 6 (1972), no. 2, 12–20 (Russian). MR 0297274
  • 2. A. M. Charbonnel, Comportement semi-classique du spectre conjoint d'opérateurs pseudo differentiels qui commutent, Seminar Equations aux Derivees Partielles, Univ. de Nautes, Dept. de Math., 1987.
  • 3. A. M. Charbonnel, preprint, Asymptotic Analysis (to appear).
  • 4. R. Cushman, Geometry of the energy momentum mapping of the spherical pendulum, CWI Newslett. 1 (1983), 4–18. MR 728269
  • 5. J. J. Duistermaat, Oscillatory integrals, Lagrange immersions and unfolding of singularities, Comm. Pure Appl. Math. 27 (1974), 207–281. MR 0405513
  • 6. J. J. Duistermaat, On global action-angle coordinates, Comm. Pure Appl. Math. 33 (1980), no. 6, 687–706. MR 596430, 10.1002/cpa.3160330602

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DOI: https://doi.org/10.1090/S0273-0979-1988-15705-9