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Spectral Analysis of Quantum Hamiltonians

Spectral Days 2010

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Rafael Benguria

    1. , Departamento de Física, P. Universidad Católica de Chile, Santiago, Chile

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    You can also search for this editor in PubMed   Google Scholar

  2. Eduardo Friedman

    1. , Departamento de Matemáticas, Universidad de Chile, Santiago, Chile

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    You can also search for this editor in PubMed   Google Scholar

  3. Marius Mantoiu

    1. , Departamento de Matemática, Universidad de Chile, Santiago, Chile

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Compact overview of recent developments of a large area of mathematical physics
  • Unlike proceedings of one-of-a-kind conferences, Spectral Days are the regular venue for ´the gathering of experts in spectral theory from around the world ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 224)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Remarks on Sojourn Time Estimates for Periodic Time-dependent Quantum Systems

    • J. Asch, O. Bourget, V. H. Cortés, C. Fernández
    Pages 1-10

  3. Continuity of Spectra in Rieffel’s Pseudodifferential Calculus

    • F. Belmonte, M. Măntoiu
    Pages 11-24

  4. Stability of Matter

    • Rafael D. Benguria
    Pages 25-54

  5. On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians

    • Horia D. Cornean, Radu Purice
    Pages 55-66

  6. The Topological Bloch-Floquet Transform and Some Applications

    • G. De Nittis, G. Panati
    Pages 67-105

  7. Discrete Schrödinger Operators with Random Alloy-type Potential

    • Alexander Elgart, Helge Krüger, Martin Tautenhahn, Ivan Veselić
    Pages 107-131

  8. Operator Domains and SUSY Breaking in a Model of SUSYQM with a Singular Potential

    • H. Falomir, P. A. G. Pisani
    Pages 133-145

  9. Generalized Euclidean Bosonic String Equations

    • P. Górka, H. Prado, E. G. Reyes
    Pages 147-169

  10. Resonances for “Large” Ergodic Systems in One Dimension: A Review

    • Frédéric Klopp
    Pages 171-182

  11. Understanding the Random Displacement Model: From Ground State Properties to Localization

    • Frédéric Klopp, Michael Loss, Shu Nakamura, Günter Stolz
    Pages 183-219

  12. On Limiting Eigenvalue Distribution Theorems in Semiclassical Analysis

    • Daisy Ojeda-Valencia, Carlos Villegas-Blas
    Pages 221-252

  13. On Norm Resolvent and Quadratic Form Convergences in Asymptotic Thin Spatial Waveguides

    • César R. de Oliveira, Alessandra A. Verri
    Pages 253-276

  14. Equilibrium Analysis of a Dissipative Fermion System

    • Rolando Rebolledo
    Pages 277-299

  15. A New Formula Relating Localisation Operators to Time Operators

    • S. Richard, R. Tiedra de Aldecoa
    Pages 301-338
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Keywords

About this book

This volume contains surveys as well as research articles broadly centered on spectral analysis. Topics range from spectral continuity for magnetic and pseudodifferential operators to localization in random media, from the stability of matter to properties of Aharonov-Bohm and Quantum Hall Hamiltonians, from waveguides and resonances to supersymmetric models and dissipative fermion systems. This is the first  of a series of volumes reporting every two years on recent progress in spectral theory.​

Editors and Affiliations

  • , Departamento de Física, P. Universidad Católica de Chile, Santiago, Chile

    Rafael Benguria

  • , Departamento de Matemáticas, Universidad de Chile, Santiago, Chile

    Eduardo Friedman

  • , Departamento de Matemática, Universidad de Chile, Santiago, Chile

    Marius Mantoiu

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