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Latin American Mathematics Series – UFSCar subseries

Spectral Theory and Mathematical Physics

STMP 2018, Santiago, Chile

Editors: Miranda, Pablo, Popoff, Nicolas, Raikov, Georgi (Eds.)

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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
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  • ISBN 978-3-030-55556-6
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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 theoryand 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.

About the authors

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.

Table of contents (14 chapters)

Table of contents (14 chapters)
  • Commutator Methods for N-Body Schrödinger Operators

    Pages 1-15

    Adachi, Tadayoshi (et al.)

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

    Pages 17-36

    Assal, Marouane

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

    Pages 37-62

    Bourget, Olivier (et al.)

  • On Non-selfadjoint Operators with Finite Discrete Spectrum

    Pages 63-86

    Bourget, Olivier (et al.)

  • Pseudo-Differential Perturbations of the Landau Hamiltonian

    Pages 87-104

    Cárdenas, Esteban

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-3-030-55556-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
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Bibliographic Information

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 – UFSCar subseries
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-55556-6
DOI
10.1007/978-3-030-55556-6
Hardcover ISBN
978-3-030-55555-9
Series ISSN
2524-6755
Edition Number
1
Number of Pages
VIII, 272
Number of Illustrations
7 b/w illustrations
Topics