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The quantum mechanical spherical pendulum
Author(s):
R.
Cushman;
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:
- 1.
- V. I. Arnol'd, Modes and quasimodes, J. Funct. Anal. Appl. 6 (1972), 94-101. MR 297274
- 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, Centrum voor Wiskunde en Informatica Newsletter 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 405513
- 6.
- J. J. Duistermaat, On global action-angle variables, Comm. Pure Appl. Math. 33 (1980), 687-706. MR 596430
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15705-9
PII:
S 0273-0979(1988)15705-9
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