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|a Mathematical problems in quantum physics /
|c Federico Bonetto, David Borthwick, Evans Harrell, Michael Loss, editors.
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c [2018]
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|a 1 online resource
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|a Contemporary mathematics ;
|v volume 717
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|a Includes bibliographical references.
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|a 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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|a Print record version.
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|a 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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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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|a Mathematical physics
|v Congresses.
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|a Quantum theory
|v Congresses.
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|a Physique mathématique
|v Congrès.
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|a Théorie quantique
|v Congrès.
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|a SCIENCE
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|a SCIENCE
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|a SCIENCE
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|a Conference papers and proceedings
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|a Bonetto, F.
|q (Federico),
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|a Borthwick, David,
|e editor.
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|a Harrell, Evans M.,
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|a Loss, Michael,
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|i has work:
|a Mathematical problems in quantum physics (Text)
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|a Contemporary mathematics (American Mathematical Society) ;
|v v. 717.
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|6 505-00/(S
|a 4. Fredholm property and essential spectrum of Schrödinger operators on ΓReferences; Optimization of the lowest eigenvalue for leaky star graphs; 1. Introduction; 2. The spectral problem for \boldmath{ }-interactions supported by star graphs; 3. Birman-Schwinger principle; 4. Proof of Theorem 1.1; 5. Discussion; Acknowledgements; References; Local eigenvalue asymptotics of the perturbed Krein Laplacian; 1. Introduction; 2. The Krein Laplacian and its perturbations; 3. General properties of harmonic Toeplitz operators; 4. Spectral asymptotics of _{ } for of power-like decay at ∂Ω
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