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" Mathematical problems in quantum physics / "
Federico Bonetto, David Borthwick, Evans Harrell, Michael Loss, editors.
Document Type
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BL
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Record Number
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850283
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Main Entry
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QMath13 Conference(2016 :, Atlanta, Georgia)
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Title & Author
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Mathematical problems in quantum physics /\ Federico Bonetto, David Borthwick, Evans Harrell, Michael Loss, editors.
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Publication Statement
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Providence, Rhode Island :: American Mathematical Society,, [2018]
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Series Statement
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Contemporary mathematics ;; volume 717
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Page. NO
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1 online resource
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ISBN
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1470449390
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: 9781470449391
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1470436817
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9781470436810
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Bibliographies/Indexes
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Includes bibliographical references.
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Contents
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A short proof of the ionization conjecture in Müller theory / Rupert L. Frank, Phan Thành Nam and Hanne van den Bosch -- Mean-field dynamics of interacting fermionic systems / Marcello Porta -- Correlations in disordered quantum harmonic oscillator systems : the effects of excitations and quantum quenches / Houssam Abdul-Rahman, Robert Sims and Gunter Stolz -- The lattice Anderson model with discrete disorder / John Z. Imbrie -- Interacting fermions with quasi-random disorder / Vieri Mastropietro -- Local density approximation for almost-bosonic anyons / M. Correggi, D. Lundholm and N. Rougerie -- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems / Bruno Nachtergaele, Robert Sims and Amanda Young -- Solvable models of interacting n-particle systems on quantum graphs / Jens Bolte and George Garforth -- Nonlinear sturm oscillation : from the interval to a star / Ram Band and August J. Krueger -- Existence of the ground state for the NLS with potential on graphs / Claudio Cacciapuoti -- Fredholm theory of differential operators on periodic graphs / Vladimir Rabinovich -- Optimization of the lowest eigenvalue for leaky star graphs / Pavel Exner and Vladimir Lotoreichik -- Local eigenvalue asymptotics of the perturbed Krein Laplacian / Vincent Bruneau and Georgi Raikov -- Singular spectrum and recent results on hierarchical operators / Per von Soosten and Simone Warzel -- On Parseval frames of exponentially decaying composite Wannier functions / David Auckly and Peter Kuchment -- Non-demolition measurements of observables with general spectra / M. Ballesteros, N. Crawford, M. Fraas, J. Frohlich and B. Schubnel -- Subfactors and quantum information theory / Pieter Naaijkens -- Dressing up for length gauge : mathematical aspects of a debate in quantum optics / Rainer Dick -- Random phase infinite coherent states : construction and dynamics / Alain Joye and Marco Merkli -- Effective evolution of open dimers / Marco Merkli.
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Abstract
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This volume contains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held from October 8-11, 2016, at the Georgia Institute of Technology, Atlanta, Georgia. In recent years, a number of new frontiers have opened in mathematical physics, such as many-body localization and Schrödinger operators on graphs. There has been progress in developing mathematical techniques as well, notably in renormalization group methods and the use of Lieb-Robinson bounds in various quantum models. The aim of this volume is to provide an overview of some of these developments. Topi.
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Subject
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Mathematical physics, Congresses.
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Subject
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Quantum theory, Congresses.
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Subject
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Mathematical physics.
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Subject
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Quantum theory.
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Subject
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SCIENCE-- Energy.
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Subject
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SCIENCE-- Mechanics-- General.
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Subject
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SCIENCE-- Physics-- General.
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Dewey Classification
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530.13
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LC Classification
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QC20.5.Q28 2016
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Added Entry
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Bonetto, F., (Federico)
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Borthwick, David
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Harrell, Evans M.
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Loss, Michael,1954-
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