Quantum Mathematical Physics

Abstract

This book is a new edition of Volumes 3 and 4 of Walter Thirring’sfamous textbook on mathematical physics. The first part is devotedto quantum mechanics and especially to its applications to scatteringtheory, atoms and molecules. The second part deals with quantum statisticalmechanics examining fundamental concepts like entropy, ergodicityand thermodynamic functions. The author builds on an axiomatic basisand uses tools from functional analysis: bounded and unbounded operatorson Hilbert space, operator algebras etc. Mathematics is shown toexplain the axioms in depth and to provide the right tool for testingnumerical data in experiments.