Keywords
- Hamiltonian System
- Turning Point
- Global Study
- Ordinary Linear Differential Equation
- Suitable Norm
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References
Friedrich, K.O., Special Topics in Analysis. Lecture Notes, New York University, New York, 1953.
Gingold, H., An asymptotic decomposition method applied to multi turning point problems, to appear in SIAM J. Math. Anal.
Gingold, H. and Hsieh, P.F., Global simplification of a Hamiltonian system with multi turning points, in preparation.
Kato, T., On the adiabatic theorem of quantum mechanics, J. Phys. Soc. Japan, 5(1955), 435–439.
Liboff, R.L., Introductory Quantum Mechanicsh, Holden-Day, San Francisco, 1980.
McHugh, J.A.M., An historical survey of ordinary linear differential equations with a large parameter and turning points, Arch. History Exact. Sci., 7(1971), 277–324.
Messiah, A., Quantum Mechanics, Vol. II, Interscience, New York, 1961.
Olver, F.W.J., Asymptotics and Special Functions, Academic Press, New York, 1974.
Rellich, F., Störungstheorie der Spektralzerlegung, I, Mitteilung. Math. Ann., 113(1936), 600–619.
Strang, G., Linear Algebra and its Applications, Academic Press, New York, 1976.
Turrittin, H. L., Solvable related equations pertaining to turning point problems, Asymptotic Solutions of Differential Equations and Their Applications, edited by C. H. Wilcox, Wiley, New York, 27–52, 1964.
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© 1985 Springer-Verlag
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Gingold, H., Hsieh, PF. (1985). A global study of a hamiltonian system with multi turning points. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074725
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DOI: https://doi.org/10.1007/BFb0074725
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