Eigenfunction localization in the quantized rigid body
John A. Toth
Source: J. Differential Geom. Volume 43, Number 4 (1996), 844-858.
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Links and Identifiers
 V.I. Arnold, Mathematical Methods of Classical Mechanics, 2nd Edition, Springer, Berlin, 1987.
Zentralblatt MATH: 0386.70001
 Abraham and Marsden, Foundations of Mechanics, 2nd Edition, Addison Wesley, Reading, MA, 1985.
Zentralblatt MATH: 0158.42901
 Abramowitz and Stegun, Handbook of Mathematical Functions, Dover, New York, 1970.
 R. Brummelhuis, T. Paul and A. Uribe, Spectral estimates around a critical level, Duke Math. J. 78 (1995) 477-530.
 Y. Colin de Verdiere and B. Parisse, Equilibre instable en regime semiclassique I: concentration microlocale, Commun. in P.D.E. 19 (1994) 1535-1563.
 P. Duclos and H. Hogreve, On the semiclassical localization of quantum probability, J. Math. Phys. 34 (1993) 1681-1691.
 A. Erdelyi, Higher Transcendental Functions, Vol. 3, McGraw-Hill, New York, 1955.
 A. Erdelyi, Asymptotic Expansions, Dover, 1955.
 V. Guillemin, Some spectral results on rank one symmetric spaces, Adv. Math. 28 (1978) 129-137.
 V. Guillemin and S. Sternberg, Geometric Asymptotics, Amer. Math. Soc, Providence, R.I., 1977.
 V. Guillemin and A. Weinstein, Eigenvalues associated with a closed geodesic, Bull. Amer. Math. Soc. 82 (1976) 92-94.
 C. Gerard and J. Sjstrand, Semiclassical resonances generated by a closed trajectory of hyperbolic type, Comm. Math. Phys. 108 (1987) 391-422.
 B. Helffer and; J. Sjstrand, Semiclassical analysis of Harper's equation. Ill, Bull. Soc. Math. France, Memoire No. 39, 1990.
Zentralblatt MATH: 0759.47022
 C. Marz, Spectral asymptotics for Hill's equation near the potential maximum, Asymptotic Anal. 5 (1992) 221-267.
 J. Ralston, On the construction of quasimodes associated with stable periodic orbits, Comm. Math. Phys. 51 (1976) 219-242.
 P. Sarnak, Arithmetic Quantum Chaos, Lecture notes, 1993.
Zentralblatt MATH: 0831.58045
 J. Sjstrand, Singularites analytiques microlocales, Asterisque 95 (1982).
 A. Seeger and C. Sogge, Bounds for eigenfunctions of differential operators, Indiana Univ. J. Math. 38 (1989) 669-682.
 J.A. Toth, Various quantum mechanical aspects of quadratic forms, J. Funct. Anal. 130 (1995) 1-42.
 J.A. Toth, On a class of spherical harmonics associated with rigid body motion, Math. Res. Lett. 1 (1994) 203-210.
 E.T. Whittaker and G.N. Watson, A Course of ModernAnalysis, Cambridge Univ. Press, 1963.
Zentralblatt MATH: 0105.26901