Impurity Localized Vibrational Mode of the Toda Lattice. I : Perturbational Approach Based on the Inverse Scattering Method
スポンサーリンク
概要
- 論文の詳細を見る
The impurity localized mode solutions of the Toda lattice are studied on the basis of the inverse scattering theory. Taking advantage of the N soliton solution formula, solutions for the surface and the bulk localized mode are obtained perturbatively up to the third order of the smallness parameter ε of the amplitude. For the surface impurity mode, our result agrees with that previously obtained by Nakamura. The solution for the bulk impurity mode is shown to have several properties similar to those in the surface impurity one, that is, temporal undamping of the vibration and frequency decreasing from the linear one with increasing amplitude.
- 理論物理学刊行会の論文
- 1982-05-25
著者
-
Yoshida Fumio
Department Of Engineering Science Hokkaido University
-
Sakuma Tetsuro
Department Of Engineering Science Hokkaido University
-
Sakuma Tetsuro
Department Of Engineering Science Factuly Of Engineering Hokkaido University
-
YOSHIDA Fukuo
Research Reactor Institute, Kyoto University
-
Sakuma Tetsuro
Department Of Enginnering Science Hokkaido University
-
Yoshida Fumio
Department Of Engineering Science Faculty Of Engineering Hokkaido University
-
SAKUMA Tetsuro
Department of Enginnering Sience, Faculty of Engineering Hokkaido University
関連論文
- The Pion-Nucleon Dispersion Relation and Small P-Wave Phase Shifts
- The Dispersion Relation and the Pion-Nucleon Interaction Cross Section at Very High Energies
- Electromagnetic Properties of Nucleons
- On Parity Conservation in the Strong Interactions
- On the Yang-Treiman Asymmetry and the Nucleon Isobar
- Oscillatory Dynamical Correlations and Elementary Excitations in Liquid He^4 : Condensed Matter and Statistical Physics
- A Dynamical Approach to Nonleptonic Decays of Hyperons
- Elevated Concentrations of Soluble IL-2 Receptor in both Bronchoalveolar Lavage Fluid and Serum in a Patient with BOOP
- Dynamical Effects of the Landau Parameter F_2 in Normal Fermi Liquids
- Molecular-Dynamics Calculations of Two-Dimensional Sine-Gordon Lattice
- Thermodynamic Properties of Anisotropic Two-Dimensional Sine-Gordon Lattice:Molecular-Dynamics Calculations
- Computer-Simulated Scattering of Lattice Solitons from a Mass Interface in a One-Dimensional Nonlinear Lattice
- Impurity Localized Vibrational Mode of the Toda Lattice. I : Perturbational Approach Based on the Inverse Scattering Method
- The Landau Parameter F_2 and Zero Sounds in Liquid ^3He
- Surface Acoustic Soliton : Physical Acoustics
- On the Test of Global Symmetry
- Computer-Simulated Scattering of Lattice Solitons from Impurity at Free Boundary
- Pion-Pion Interaction and Pion Production in Pion-Nucleon Collision
- Stability of Surface Acoustic Soliton : Physical Acoustics
- Soliton Solution in a One-Dimensional Nonlinear Lattice with (2,1) Lennard-Jones Potential
- Impurity Localizad Vibrational Mode of the Tda Lattice. II : Computer Simulations
- Scattering of Lattice Solitons and the Excitation of Impurity Modes
- Associated Production in Pion-Nucleon Collisions and Effects of Resonant States
- Weak Interactions at High Energies
- Phonons in Nonlinear and Nonequilibrium Systems and Thermal Conductivity
- Electron Transport by Surface Acoustic Soliton of the KdV Type : SAW and Communication Devices
- A Self-Consistent Theory of Memory Function in Classical Simple Liquids. I : Incoherent Scattering Law S_s (k,ω)
- Dynamical Structure Factor and Elementary Excitations in Liquid He^3
- High-Frequency Expansion of Memory Function in Classical Simple Liquids. III : Liquid Metals
- Dynamical Structure Factor and Elementary Excitations in Normal Liquid He^3
- High-Frequency Expansion of Memory Function in Classical Simple Liquids
- Local-Field Correction and Dynamical Structure Factor of Electron Liquids
- High-Frequency Expansion of Memory Function in Classical Simple Liquids. II : Transverse Collective Modes
- Dynamical Structure Factor and Collective Modes in Classical One-Component Plasmas
- A Dynamical Approach to the Leptonic Decays of Baryons
- X^0-η Mixing and Radiative Meson Decays
- Surface Acoustic Soliton in Superlattices : Physical Acoustics
- A Self-Consistent Theory of Memory Function in Calssical Simple Liquids. II : Dynamical Structure Factor and Current-Current Correlation Function
- A Self-Consistent Theory of Response Function and Effective Potential : A General Theory of Density Fluctuations in Classical and Quantum Liquids