Nonlinear excitations in a quantum dimer

  • Lisa J. Bernstein
Part II: Biosystems and Molecular Systems
Part of the Lecture Notes in Physics book series (LNP, volume 393)


Local Mode Jacobi Elliptic Function Excitation Probability Nonlinear SchrSdinger Equation Davydov Soliton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. [1]
    K. V. Reddy, D. F. Heller, and M. J. Berry, Highly vibrationally excited benzene: Overtone spectroscopy and intramolecular dynamics of C6D6, C6D6, and partially-hydrogenated or substituted benzenes, J. Chem. Phys. 76, 2814–37 (1982).Google Scholar
  2. [2]
    B. R. Henry, Local modes and their application to the analysis of polyatomic overtone spectra, J. Phys. Chem. 80 2160–4 (1976).Google Scholar
  3. [3]
    L. J. Bernstein, J. C. Eilbeck and A. C. Scott, The quantum theory of local modes in a coupled system of nonlinear oscillators, Nonlinearity 3, 293–323 (1990).Google Scholar
  4. [4]
    A. S. Davydov, The Theory of Contraction of Proteins under their Excitation, J. Theor. Biol. 38, 559–69 (1973).PubMedGoogle Scholar
  5. [5]
    P. L. Christiansen and A. C. Scott, eds, Introduction to Section I, Davydov's Soliton Revisited, Proceedings of the NATO-Midit Advanced Workshop on “Self-Trapping of Vibrational Energy in Protein”, Plenum (1990) and references therein.Google Scholar
  6. [6]
    Luca Bonci, Paolo Grigolini and David Vitali, Beyond the semi-classical approximation of the discrete nonlinear Schrödinger equation: Collapses and revivals as a sign of quantum fluctuations, Phys. Rev. A 42, 4452–61 (1990).PubMedGoogle Scholar
  7. [7]
    Andreas Köngeter and Max Wagner, Exotic exciton-phonon states and bottleneck for self-trapping, J. Chem. Phys. 92, 4003–11 (1990).Google Scholar
  8. [8]
    J. C. Eilbeck, P. S. Lomdahl and A. C. Scott, The Discrete Self-Trapping Equation, Physica 16D, 318–38 (1985).Google Scholar
  9. [9]
    David W. Brown, Katja Lindenberg and Bruce J. West, Phys. Rev. A 33, 4104 (1986); David W. Brown, Bruce J. West and Katja Lindenberg, Phys. Rev. A 33, 4110 (1986).PubMedGoogle Scholar
  10. [10]
    A. A. Maier, Self-switching of light in an optical coupler, Sov. J. Quantum Electron. 14, 101–4 (1983).Google Scholar
  11. [11]
    V. M. Kenkre and D. K. Campbell, Self-trapping on a dimer: Time-dependent solutions of a discrete nonlinear Schrödinger equation, Phys. Rev. B 34, 4959–61 (1986).Google Scholar
  12. [12]
    Herbert B. Shore and Leonard M. Sander, Ground State of the Exciton-Phonon System, Phys. Rev. B 7, 4537–4546 (1973).Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Lisa J. Bernstein
    • 1
  1. 1.Department of Chemistry, B-040 and the Institute for Nonlinear ScienceUniversity of CaliforniaSan Diego, La JollaUSA

Personalised recommendations