Phase Theory of Disordered Systems
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概要
- 論文の詳細を見る
The phase theory, a general and exact method of investigating the disordered systems which has been developed in recent years, is outlined. It allows us to discuss various aspects of the spectral properties of disordered system from a unified point of view, without the ambiguities such as those often involved in approximate theories. After a systematic formulation of the basic principles of the theory is given, it is applied to the problems of impurity modes associated with isolated impurities, spectral gaps of mixed system, fine structures of the spectrum of disordered system, and the nature of eigenmodes of disordered chain. It is seen that the theory works well for all these problems, and can not only explain or predict several characteristic spectral properties such as peak structures and special points in the spectrum and the localization of eigenfunctions, but also contains the existing specific theories as its special cases.
- 理論物理学刊行会の論文
- 1966-08-31
著者
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Hori Jun-ichi
Department Of Physics Hokkaido University
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Hori Jun-ichi
Department Of Physics Faculty Of Science Hokkaido University
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Hori J.
Department of Physics, Hokkaido University
関連論文
- Scattering Matrix and Surface Modes. I
- Phase Theory of Disordered Systems
- Some Numerical Experiments and Remarks on the Localization of Eigenmodes in Disordered One-Dimensional Systems
- Phase Transition between Stationary State. III : An Integral Equation for Necessary and Sufficient Liapounoff Functions
- Theories of Spectral Gaps of Higher-Dimensional Disordered Systems
- A Note on Thermodynamics of the Harmonic Oscillator with Radiation Damping
- On the Vibration of Disordered Linear Lattice. III
- Remarks on Time-Dependent Behavior of Disordered Lattice (Part II. Time Dependent Problems)
- Structure of the Spectra of Disordered Systems. II : Spectral Gaps of Disordered Systems
- Phase Transition between Stationary States. II : Liapounoff Function in Benard Problem
- Structure of the Spectra of Disordered Systems. I : Fundamental Theorems
- A New Picture of the Vibration of Linear Lattices
- On a Relation between Fluctuation-Dissipation Theorem and Irreversible Thermodynamics
- Methods of Negative-Factor-Counting in the Theory of the Frequency Spectrum of Disordered Lattices (Part I. Time Independent Problem)
- Continuum Approximation for the Motion of a Heavy Particle in One-and Three-Dimensional Lattices (Part II. Time Dependent Problems)
- Structure of the Spectra of Disordered Systems
- Phase Transition between Stationary States. I : A Simple Model of Laser-Like Behaviour
- Remarks on Matsuda's Theorem
- Why have the Vibrational Frequency Spectra of Disordered Chains Many Distinct Peaks?
- Structure of the Spectra of Disordered Systems. III : Matsuda's Theorem on Special Frequencies