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A global study of a hamiltonian system with multi turning points

Part of the Lecture Notes in Mathematics book series (LNM,volume 1151)

Keywords

  • Hamiltonian System
  • Turning Point
  • Global Study
  • Ordinary Linear Differential Equation
  • Suitable Norm

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References

  1. Friedrich, K.O., Special Topics in Analysis. Lecture Notes, New York University, New York, 1953.

    Google Scholar 

  2. Gingold, H., An asymptotic decomposition method applied to multi turning point problems, to appear in SIAM J. Math. Anal.

    Google Scholar 

  3. Gingold, H. and Hsieh, P.F., Global simplification of a Hamiltonian system with multi turning points, in preparation.

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  4. Kato, T., On the adiabatic theorem of quantum mechanics, J. Phys. Soc. Japan, 5(1955), 435–439.

    CrossRef  Google Scholar 

  5. Liboff, R.L., Introductory Quantum Mechanicsh, Holden-Day, San Francisco, 1980.

    Google Scholar 

  6. 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.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Messiah, A., Quantum Mechanics, Vol. II, Interscience, New York, 1961.

    MATH  Google Scholar 

  8. Olver, F.W.J., Asymptotics and Special Functions, Academic Press, New York, 1974.

    MATH  Google Scholar 

  9. Rellich, F., Störungstheorie der Spektralzerlegung, I, Mitteilung. Math. Ann., 113(1936), 600–619.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Strang, G., Linear Algebra and its Applications, Academic Press, New York, 1976.

    MATH  Google Scholar 

  11. 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.

    Google Scholar 

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

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