Davydov’s Soliton Revisited: Self-Trapping of Vibrational Energy in Protein

a-helix A. S. Davydov A.C. Scott absorption acetanilide acoustic phonons adiabatic alpha-helix amide-I mode amplitude anharmonic ansatz approximation atomic band basis set biological bisoliton calculated Careri Chem classical coherent consider corresponding crystal curve Davydov soliton deformation dimer dipole dispersion displacement DST equation dynamics eigenstates electron equations of motion equilibrium excimer excitation exciton exciton-phonon coupling experimental force constant formamide frequency Fröhlich geometry Hamiltonian hydrogen bond initial conditions integral interaction lattice Lett Lindenberg linear formamide dimer localized mode Lomdahl matrix molecular chain molecules monomer nonlinear nonlinear Schrödinger equation normal mode obtained operator oscillator parameters peptide groups Phys Physics polaron polypeptide potential protein quantum mechanical quasi-particle Raman self-trapping simulations small polaron soliton solutions spectra stable Takeno temperature dependence theory thermal v(NH values velocity vibron wave function world line