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Mathematical Problems in Quantum Physics

Edited by: Federico Bonetto Georgia Institute of Technology, Atlanta, GA
David Borthwick Emory University, Atlanta, GA
Evans Harrell Georgia Institute of Technology, Atlanta, GA
Michael Loss Georgia Institute of Technology, Atlanta, GA
Available Formats:
Softcover ISBN: 978-1-4704-3681-0
Product Code: CONM/717
List Price: $117.00 MAA Member Price:$105.30
AMS Member Price: $93.60 Electronic ISBN: 978-1-4704-4939-1 Product Code: CONM/717.E List Price:$117.00
MAA Member Price: $105.30 AMS Member Price:$93.60
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List Price: $175.50 MAA Member Price:$157.95
AMS Member Price: $140.40 Click above image for expanded view Mathematical Problems in Quantum Physics Edited by: Federico Bonetto Georgia Institute of Technology, Atlanta, GA David Borthwick Emory University, Atlanta, GA Evans Harrell Georgia Institute of Technology, Atlanta, GA Michael Loss Georgia Institute of Technology, Atlanta, GA Available Formats:  Softcover ISBN: 978-1-4704-3681-0 Product Code: CONM/717  List Price:$117.00 MAA Member Price: $105.30 AMS Member Price:$93.60
 Electronic ISBN: 978-1-4704-4939-1 Product Code: CONM/717.E
 List Price: $117.00 MAA Member Price:$105.30 AMS Member Price: $93.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$175.50 MAA Member Price: $157.95 AMS Member Price:$140.40
• Book Details

Contemporary Mathematics
Volume: 7172018; 338 pp
MSC: Primary 81; 82;

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. Topics include random Schrödinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory. A number of articles are devoted to the very active area of Schrödinger operators on graphs and general spectral theory of Schrödinger operators. Some of the articles are expository and can be read by an advanced graduate student.

Graduate students and research mathematicians interested in current developments in mathematical physics.

• Articles
• Rupert L. Frank, Phan Thành Nam and Hanne Van Den Bosch - A short proof of the ionization conjecture in Müller theory
• Marcello Porta - Mean field dynamics of interacting fermionic systems
• Houssam Abdul-Rahman, Robert Sims and Günter Stolz - Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches
• John Z. Imbrie - The lattice Anderson model with discrete disorder
• Vieri Mastropietro - Interacting fermions with quasi-random disorder
• M. Correggi, D. Lundholm and N. Rougerie - Local density approximation for almost-bosonic anyons
• Bruno Nachtergaele, Robert Sims and Amanda Young - Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
• Jens Bolte and George Garforth - Solvable models of interacting $n$-particle systems on quantum graphs
• Ram Band and August J. Krueger - Nonlinear Sturm oscillation: From the interval to a star
• Claudio Cacciapuoti - Existence of the ground state for the NLS with potential on graphs
• Vladimir Rabinovich - Fredholm theory of differential operators on periodic graphs
• Pavel Exner and Vladimir Lotoreichik - Optimization of the lowest eigenvalue for leaky star graphs
• Vincent Bruneau and Georgi Raikov - Local eigenvalue asymptotics of the perturbed Krein Laplacian
• Per von Soosten and Simone Warzel - Singular spectrum and recent results on hierarchical operators
• David Auckly and Peter Kuchment - On Parseval frames of exponentially decaying composite Wannier functions
• M. Ballesteros, N. Crawford, M. Fraas, J. Fröhlich and B. Schubnel - Non-demolition measurements of observables with general spectra
• Pieter Naaijkens - Subfactors and quantum information theory
• Rainer Dick - Dressing up for length gauge: Mathematical aspects of a debate in quantum optics
• Alain Joye and Marco Merkli - Random phase infinite coherent states: Construction and dynamics
• Marco Merkli - Effective evolution of open dimers

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 7172018; 338 pp
MSC: Primary 81; 82;

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. Topics include random Schrödinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory. A number of articles are devoted to the very active area of Schrödinger operators on graphs and general spectral theory of Schrödinger operators. Some of the articles are expository and can be read by an advanced graduate student.

Graduate students and research mathematicians interested in current developments in mathematical physics.

• Articles
• Rupert L. Frank, Phan Thành Nam and Hanne Van Den Bosch - A short proof of the ionization conjecture in Müller theory
• Marcello Porta - Mean field dynamics of interacting fermionic systems
• Houssam Abdul-Rahman, Robert Sims and Günter Stolz - Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches
• John Z. Imbrie - The lattice Anderson model with discrete disorder
• Vieri Mastropietro - Interacting fermions with quasi-random disorder
• M. Correggi, D. Lundholm and N. Rougerie - Local density approximation for almost-bosonic anyons
• Bruno Nachtergaele, Robert Sims and Amanda Young - Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
• Jens Bolte and George Garforth - Solvable models of interacting $n$-particle systems on quantum graphs
• Ram Band and August J. Krueger - Nonlinear Sturm oscillation: From the interval to a star
• Claudio Cacciapuoti - Existence of the ground state for the NLS with potential on graphs
• Vladimir Rabinovich - Fredholm theory of differential operators on periodic graphs
• Pavel Exner and Vladimir Lotoreichik - Optimization of the lowest eigenvalue for leaky star graphs
• Vincent Bruneau and Georgi Raikov - Local eigenvalue asymptotics of the perturbed Krein Laplacian
• Per von Soosten and Simone Warzel - Singular spectrum and recent results on hierarchical operators
• David Auckly and Peter Kuchment - On Parseval frames of exponentially decaying composite Wannier functions
• M. Ballesteros, N. Crawford, M. Fraas, J. Fröhlich and B. Schubnel - Non-demolition measurements of observables with general spectra
• Pieter Naaijkens - Subfactors and quantum information theory
• Rainer Dick - Dressing up for length gauge: Mathematical aspects of a debate in quantum optics
• Alain Joye and Marco Merkli - Random phase infinite coherent states: Construction and dynamics
• Marco Merkli - Effective evolution of open dimers
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.