Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System

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概要

• 論文の詳細を見る

• Some exact results obtained by now are reviewed. A most general proof is given for the exponential growth of particular solutions. Based on this property a unification is brought about into the theories on localization of eigenstates, transmission problem, heat conduction through harmonic chains, and quantum diffusion problem. Singular properties are proved for the Green function and the spectrum of the disordered system. Vanishing of the d. c. conductivity is discussed and numerically calculated eigenstates are collected.

• 理論物理学刊行会の論文
• 1974-01-10

著者

• Ishii Kazushige

  Department Of Biology Faculty Of Science Kyushu University;research Institute For Fundamental Physic

• Ishii Kazushige

  Department Of Biology Faculty Of Science Kyushu University

• ISHII Kazushige

  Department of Biology, Faculty of Science, Kyushu University;Research Institute for Fundamental Physics Kyoto University,

関連論文

• Percolation Theory in an Anisotropic Bethe Lattice
• Relaxation of Systems under the Effect of a Gaussian White Noise : Kolmogorov Backward Equation Method
• Relaxation of Systems under the Effect of a Colored Noise : Exactly Soluble Models
• Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System
• Lattice Vibration of a Linear Chain with Long-Range Interaction

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