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Birkhäuser

Spectral Theory and Mathematical Physics

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Marius Mantoiu

    1. Facultad de Ciencias, Universidad de Chile, Santiago, Chile

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  2. Georgi Raikov

    1. Facultad de Matemáticas, Pontificia Universidad Católica Chi, Santiago, Chile

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    You can also search for this editor in PubMed   Google Scholar

  3. Rafael Tiedra de Aldecoa

    1. Facultad de Matemáticas, Pontificia Universidad Católica Chi, Santiago, Chile

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    You can also search for this editor in PubMed   Google Scholar

  • Features expert and well-presented survey articles which start from basic facts and reach the forefront of research
  • Presents new results in original and authoritative research papers, thematically complementing the surveys
  • Highlights the research of the Chilean group working in the field of spectral theory, as well as of its collaborators from all over the world

Part of the book series: Operator Theory: Advances and Applications (OT, volume 254)

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Table of contents (11 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Lower Bounds for Sojourn Time in a Simple Shape Resonance Model

    • J. Asch, O. Bourget, V. H. Cortés, C. Fernández
    Pages 1-9

  3. Spectral Properties for Hamiltonians of Weak Interactions

    • Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot
    Pages 11-36

  4. Magnetic Laplacian in Sharp Three-dimensional Cones

    • Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff, Nicolas Raymond
    Pages 37-56

  5. Spectral Clusters for Magnetic Exterior Problems

    • Vincent Bruneau, Diomba Sambou
    Pages 57-70

  6. The Spectral Shift Function and the Witten Index

    • Alan Carey, Fritz Gesztesy, Galina Levitina, Fedor Sukochev
    Pages 71-105

  7. Stahl’s Theorem (aka BMV Conjecture): Insights and Intuition on its Proof

    • Fabien Clivaz
    Pages 107-117

  8. Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials

    • Dhriti Ranjan Dolai
    Pages 119-132

  9. Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation

    • Dietrich Häfner
    Pages 133-148

  10. Levinson’s Theorem: An Index Theorem in Scattering Theory

    • S. Richard
    Pages 149-203

  11. Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations

    • Diomba Sambou
    Pages 205-221

  12. Harmonic Analysis and Random Schrödinger Operators

    • Matthias Täufer, Martin Tautenhahn, Ivan Veselić
    Pages 223-255
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Keywords

About this book

The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics.

It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.

Editors and Affiliations

  • Facultad de Ciencias, Universidad de Chile, Santiago, Chile

    Marius Mantoiu

  • Facultad de Matemáticas, Pontificia Universidad Católica Chi, Santiago, Chile

    Georgi Raikov, Rafael Tiedra de Aldecoa

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