Abstract
The last two decades have witnessed a great development and progress in the understanding of the non-linear dynamics of classical Hamiltonian systems [1]. The continuous improvements in computer technology, making possible intensive numerical experiments, and the power of the KAM (Kolmogorov-Arnold-Moser) theorem to analyze these data [2] have played an important role in this development.
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References
Seimenis, J. (ed) (1994) Chaos in Hamiltonian Systems, Elsevier, Amsterdam, and this volume.
See contribution of J. Moser in this volume.
Karplus, M. and Porter, R.N. (1970) Atoms and Molecules, Benjamin, New York.
Borondo, F. and Benito, R.M. (1995) in E. Yurtsever (ed), Frontiers of Chemical Physics, Elsevier, Amsterdam.
Borondo, F. and Benito, R.M. (1995) in E. Yurtsever (ed), Frontiers of Chemical Physics, Elsevier, Amsterdam.
McDonald, S.W. and Kaufman, A.N. (1988) Phys. Rev. A 37, 3067; Heller, E.J. (1991) in J.M. Giannoni, A. Voros, and J. Zinn-Justin (eds) Chaos and Quantum Physics, Elsevier, Amsterdam.
Gomez-Llorente, J.M., Borondo, F., Berenger, N. and Benito, R.M. (1992) Chem. Phys. Lett. 192, 430; Polavieja, G.G., Borondo, F. and Benito, R.M. (1994) Phys. Rev. Lett. 73, 1613.
Gutzwiller, M.C. (1990) Chaos in Classical and Quantum Mechanics, Springer-Verlag, New-York.
Essers, R., Tennyson, J. and Wormer, P.E.S. (1982) Chem. Phys. Lett. 89, 223.
Benito, R.M., Borondo, F., Kim, J.-H., Sumpter, B.G., and Ezra, G.S. (1989) Chem. Phys. Lett. 161, 60.
Bacic, Z. and Light, J.C. (1986) J. Chem. Phys. 85, 4595.
Contopulos, G. (1995) Celest. Mech. 56, 325.
Benito, R.M. and Borondo, F., J. Chem. Phys., submitted.
Prosmiti, R., Farantos, S.C., Guantes, R., Borondo, F., and Benito, R.M., J. Chem. Phys., submitted.
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Benito, R.M., Borondo, F. (1999). Periodic Orbits and Quantum Mechanics of Molecular Hamiltonian Systems. In: Simó, C. (eds) Hamiltonian Systems with Three or More Degrees of Freedom. NATO ASI Series, vol 533. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4673-9_29
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DOI: https://doi.org/10.1007/978-94-011-4673-9_29
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