Spectral Theory and Mathematical Physics: STMP 2018, Santiago, Chile: Latin American Mathematics Series
Editat de Pablo Miranda, Nicolas Popoff, Georgi Raikoven Limba Engleză Hardback – 13 noi 2020
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.
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Specificații
ISBN-13: 9783030555559
ISBN-10: 3030555550
Pagini: 272
Ilustrații: VIII, 272 p. 7 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.57 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seriile Latin American Mathematics Series, Latin American Mathematics Series – UFSCar subseries
Locul publicării:Cham, Switzerland
ISBN-10: 3030555550
Pagini: 272
Ilustrații: VIII, 272 p. 7 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.57 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seriile Latin American Mathematics Series, Latin American Mathematics Series – UFSCar subseries
Locul publicării:Cham, Switzerland
Cuprins
Commutator methods for N-body Schrödinger operators.- Resolvent estimates and resonance free regions for Schrödinger operators with matrix-valued potentials.- One-dimensional discrete Anderson model in a decaying random potential: From a.c. spectrum to dynamical localization.- On non-selfadjoint operators with finite discrete spectrum.- Pseudo-differential perturbations of the Landau Hamiltonian.- Semiclassical surface wave tomography of isotropic media.- Persistence of point spectrum for perturbations of one-dimensional operators with discrete spectra.- Resonances for a system of Schrödinger operators above an energy-level crossing.- Nonexistence result for wave operators in massive relativistic system.- Quantized calculus for perturbed massive Dirac operator on noncommutative Euclidian space.- On the explicit semiclassical limiting eigenvalue (resonance) distribution for the Zeeman (Stark) hydrogen atom Hamiltonian.- Negative spectrum of the Robin Laplacian.- On some integral operators appearing in scattering theory, and their resolutions.- The strong Scott conjecture: The density of heavy atoms close to the nucleous.
Notă biografică
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.
Textul de pe ultima copertă
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.
Caracteristici
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