This volume consists of the proceedings of the QMATH:13 Mathematical Results in Quantum Physics conference, held in October 2016 in an Atlanta, Georgia. It contains 20 papers on the many-body problem and quantum graphs, including many-body localization, random Schr�dinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory, as well as Schr�dinger operators on graphs and general spectral theory of Schr�dinger operators. Contributors are mathematicians and physicists from Europe, Israel, South America, and North America. Annotation �2018 Ringgold, Inc., Portland, OR (protoview.com)

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