Schr Dinger Operators Spectral Analysis And Number Theory
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Spectral and Scattering Theory for Quantum Magnetic Systems
Author: Philippe Briet
language: en
Publisher: American Mathematical Soc.
Release Date: 2009
Contains the proceedings of the conference on Spectral and Scattering Theory for Quantum Magnetic Systems, which took place at CIRM, Luminy, France, in July 2008. This volume includes original results presented by some of the invited speakers and surveys on advances in the mathematical theory of quantum magnetic Hamiltonians.
Introduction to Spectral Theory
Author: P.D. Hislop
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.