Abstract
A generalized discrete self-trapping model of biomolecules which allows adjustment of the degree of nonlinearity is investigated both classically and quantum mechanically. With two degrees of freedom, the system is closely related to the Feynman top. A dramatic effect of the nonlinearity on the localization of energy is observed.
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References
A.S. Davydov, Biology and Quantum Mechanics, Pergamon, Oxford (1981).
A.S. Davydov, Sov. Phys. Usp. 25 (1982) 899; Usp. Fiz. Nauk 138 (1982) 603.
J.C. Eilbeck, P.S. Lomdahl, and A.C. Scott, Physica D 16 (1985) 318.
A.C. Scott, P.S. Lomdahl, and J.C. Eilbeck, Chem. Phys. Lett. 113 (1985) 29.
A.C. Scott and J.C. Eilbeck, Chem. Phys. Lett. 132 (1986) 23.
A.C. Scott and J.C. Eilbeck, Phys. Lett. A 119 (1986) 60.
A.C. Scott, L. Bernstein, and J.C. Eilbeck, J. Biol. Phys. 17 (1989) 1.
L.J. Bernstein, J.C. Eilbeck, and A.C. Scott, “The Quantum Theory of Local Modes in a Coupled System of Nonlinear Oscillators”, Nonlinear-ity (accepted).
A.C. Scott, L. Bernstein, and J.C. Eilbeck, “Local Modes in Molecules”, J. Molecular Liquids 41 (1989) 105.
V.M. Kenkre and D.K. Campbell, Phys. Rev. B 34 (1986) 4959.
L. Cruzeiro-Hansson, P.L. Christiansen, and J.N. Elgin, Phys. Rev. B 37 (1988) 7896
J.H. Jensen, P.L. Christiansen, J.N. Elgin, J.D. Gibbon, and O. Skovgaard, Phys. Lett. A 110 (1985) A29.
S. De Filippo, M. Fusco Girard, and M. Salerno, Physica D 26 (1987) 411; ibid. D 29 (1988) 421.
H. Feddersen, R. Flesch, M. Salerno, and P.L. Christiansen, “Comment on ‘Theory of the Liapunov Exponents of Hamiltonian Systems and a Numerical Study of the Transition from Regular to Irregular Classical Motion’”, J. Chem. Phys. 92 (1990) (to appear).
S. De Filippo, M. Fusco Girard, and M. Salerno, “Avoided Crossing and Next Neighbour Spacings for the Quantum DST Equation” (to appear).
L. Cruzeiro-Hansson, H. Feddersen, R. Flesch, P.L. Christiansen, M. Salerno, and A.C. Scott, “Classical and Quantum Analysis of Chaos in the discrete Self-trapping Equation” (to appear).
A.C. Scott and P.L. Christiansen, “A generalized discrete self-trapping equation”, Physica Scripta (to appear).
P.L. Christiansen, “On a generalized discrete self-trapping equation”, J. Molecular Liquids 41 (1989) 113–121.
A.C. Scott, “A non-resonant discrete self-trapping system”, Physica Scripta (to appear).
R.P. Feynman, F.L. Vernon, and R.W. Hellwarth, J. Appl. Phys. 28 (1957) A9.
P.F. Byrd and M.D. Friedman, “Handbook of Elliptic Integrals for Engineers and Physicists”, Springer, Berlin (1971).
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Christiansen, P.L. (1990). Energy Localization in Small Biomolecules. In: Christiansen, P.L., Scott, A.C. (eds) Davydov’s Soliton Revisited. NATO ASI Series, vol 243. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9948-4_39
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DOI: https://doi.org/10.1007/978-1-4757-9948-4_39
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