Multi-scale Analysis for Random Quantum Systems with Interaction

• Main Authors: Chulaevsky, Victor (Author), Suhov, Yuri (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2014.
• Series: Progress in Mathematical Physics, 65
• Subjects: Mathematics.; Functional analysis.; Applied mathematics.; Engineering mathematics.; Probabilities.; Physics.; Solid state physics.; Spectroscopy.; Microscopy.; Functional Analysis.; Mathematical Methods in Physics.; Probability Theory and Stochastic Processes.; Applications of Mathematics.; Solid State Physics.; Spectroscopy and Microscopy.

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems wi...

Table of Contents:

• Preface
• Part I Single-particle Localisation
• A Brief History of Anderson Localization.- Single-Particle MSA Techniques
• Part II Multi-particle Localization
• Multi-particle Eigenvalue Concentration Bounds
• Multi-particle MSA Techniques
• References
• Index.