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Spectral Theory and Mathematical Physics

STMP 2018, Santiago, Chile

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Pablo Miranda

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

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  2. Nicolas Popoff

    1. Institut de Mathématiques de Bordeaux, Talence, France

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  3. Georgi Raikov

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

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  • Brings state-of-the-art studies in topics like magnetic Hamiltonians, Berezin-Toeplitz operators, spectral shift function, and quantum resonances
  • Gathers together novel findings and original surveys, fostering cooperation between young researchers and established specialists in the field
  • Opens up ways to new research topics in the field

Part of the book series: Latin American Mathematics Series (LAMS)

Part of the book sub series: Latin American Mathematics Series – UFSCar subseries (LAMSUFSC)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-viii
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  2. Commutator Methods for N-Body Schrödinger Operators

    • Tadayoshi Adachi, Kyohei Itakura, Kenichi Ito, Erik Skibsted
    Pages 1-15

  3. Resolvent Estimates and Resonance Free Domains for Schrödinger Operators with Matrix-Valued Potentials

    • Marouane Assal
    Pages 17-36

  4. One-dimensional Discrete Anderson Model in a Decaying Random Potential: from A.C. Spectrum to Dynamical Localization

    • Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
    Pages 37-62

  5. On Non-selfadjoint Operators with Finite Discrete Spectrum

    • Olivier Bourget, Diomba Sambou, Amal Taarabt
    Pages 63-86

  6. Pseudo-Differential Perturbations of the Landau Hamiltonian

    • Esteban Cárdenas
    Pages 87-104

  7. Semiclassical Surface Wave Tomography of Isotropic Media

    • Maarten V. de Hoop, Alexei Iantchenko
    Pages 105-123

  8. Persistence of Point Spectrum for Perturbations of One-Dimensional Operators with Discrete Spectra

    • César R. de Oliveira, Mariane Pigossi
    Pages 125-151

  9. Resonances for a System of Schrödinger Operators above an Energy-Level Crossing

    • Setsuro Fujiié, André Martinez, Takuya Watanabe
    Pages 153-170

  10. Nonexistence Result for Wave Operators in Massive Relativistic System

    • Atsuhide Ishida
    Pages 171-178

  11. Quantised Calculus for Perturbed Massive Dirac Operator on Noncommutative Euclidean Space

    • Galina Levitina, Fedor Sukochev
    Pages 179-198

  12. On the Explicit Semiclassical Limiting Eigenvalue (Resonance) Distribution for the Zeeman (Stark) Hydrogen Atom Hamiltonian

    • Carlos Pérez-Estrada, Carlos Villegas-Blas
    Pages 199-227

  13. The Negative Spectrum of the Robin Laplacian

    • Nicolas Popoff
    Pages 229-242

  14. On Some Integral Operators Appearing in Scattering Theory, and their Resolutions

    • Serge Richard, Tomio Umeda
    Pages 243-256

  15. The Strong Scott Conjecture: the Density of Heavy Atoms Close to the Nucleus

    • Heinz Siedentop
    Pages 257-272
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Keywords

About this book

This proceedings volume contains peer-reviewed, selected papers and surveys presented at the conference Spectral Theory and Mathematical Physics (STMP) 2018 which was held in Santiago, Chile, at the Pontifical Catholic University of Chile in December 2018. The original works gathered in this volume reveal the state of the art in the area and reflect the intense cooperation between young researchers in spectral theory
and mathematical physics and established specialists in this field. The list of topics covered includes: eigenvalues and resonances for quantum Hamiltonians; spectral shift function and quantum scattering; spectral properties of random operators; magnetic quantum Hamiltonians; microlocal analysis and its applications in mathematical physics. This volume can be of interest both to senior researchers and graduate students pursuing new research topics in Mathematical Physics.

Editors and Affiliations

  • Departamento de Matemáticas y C. C., Universidad de Santiago de Chile, Santiago, Chile

    Pablo Miranda

  • Institut de Mathématiques de Bordeaux, Talence, France

    Nicolas Popoff

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

    Georgi Raikov

About the editors

Pablo Miranda is a Professor at the University of Santiago de Chile. He graduated from the University of Chile (2011) and did postdoctoral studies at the Institute of Physics, Catholic University of Chile and at the Mittag-Leffler Institute. His current research interests include magnetic Schrödinger operators, resonances in quantum systems and spectral shift function theory.


Nicolas Popoff is an Assistant Professor at the Institut de Mathématiques de Bordeaux, France. He got his PhD in 2012 from the University of Rennes 1, France, under the supervision of Virginie Bonnaillie-Noël and Monique Dauge. He held a teaching position at the University of Rennes and did postdoc studies with the Quantum Dynamics and Spectral Analysis team at the Center of Theoretical Physics of the University of Aix-Marseille. His research interests include spectral theory, PDE, mathematical physics and numerical analysis.


Georgi Raikov obtained his PhD in Mathematical Physics at Leningrad (St. Petersburg) State University, Russia, in 1986, and a higher doctoral degree D.Sc. in Mathematics in 1992 at the Bulgarian Academy of Science where he worked in the period 1987-2000. Since 2001 Georgi Raikov has been working in Chile, and at the moment he is a Full Professor at the Faculty of Mathematics of the Catholic University of Chile. His research areas are analysis, partial differential equations, mathematical physics, spectral and scattering theory of self-adjoint operators.


Bibliographic Information

  • Book Title: Spectral Theory and Mathematical Physics

  • Book Subtitle: STMP 2018, Santiago, Chile

  • Editors: Pablo Miranda, Nicolas Popoff, Georgi Raikov

  • Series Title: Latin American Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-030-55556-6

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-55555-9Published: 13 November 2020

  • eBook ISBN: 978-3-030-55556-6Published: 12 November 2020

  • Series ISSN: 2524-6755

  • Series E-ISSN: 2524-6763

  • Edition Number: 1

  • Number of Pages: VIII, 272

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Analysis, Operator Theory, Quantum Physics

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