Spectral Methods in Surface Superconductivity

1. Auflage. 2010
ISBN: 978-0-8176-4796-4
Verlag: Birkhauser Boston

Buch, Englisch, Band 77, 324 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1460 g

Reihe: Progress in Nonlinear Differential Equations and Their Applications

During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg–Landau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong magnetic field and with a sufficiently large Ginzburg–Landau parameter kappa.

is intended for students and researchers with a graduate-level understanding of functional analysis, spectral theory, and the analysis of partial differential equations. The book also includes an overview of all nonstandard material as well as important semi-classical techniques in spectral theory that are involved in the nonlinear study of superconductivity.

Zielgruppe

Graduate

Autoren/Hrsg.

Fournais, Søren

Helffer, Bernard

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Halb- und Supraleitertechnologie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Elektromagnetismus Halbleiter- und Supraleiterphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

Linear Analysis.- Spectral Analysis of Schrödinger Operators.- Diamagnetism.- Models in One Dimension.- Constant Field Models in Dimension 2: Noncompact Case.- Constant Field Models in Dimension 2: Discs and Their Complements.- Models in Dimension 3: or