Collected Works 1998; 729 pp; hardcover Volume: 8 ISBN10: 0821808125 ISBN13: 9780821808122 List Price: US$164 Member Price: US$131.20 Order Code: CWORKS/8
 This book contains Thirring's scientific contributions to mathematical physics, statistical physics, general relativity, quantum field theory and elementary particle theory from 1950 onward. The order of the papers within the various sections is chronological and reflects the development of the fields during the second half of this century. In some cases, Thirring returned to problems decades later when the tools for their solution had ripened. Each section contains introductory comments by Thirring, outlining his motivation for the work at that time. Features:  A complete proof of the divergence of the renormalized perturbation theory in a relativistic quantum field theory and a proof of the divergence of a similar theory
 A proof of the stability of matter
 An analysis of a dynamical system with negative specific heat
 A generalization of the dynamical entropy to quantum dynamical systems
Readership Graduate students, mathematicians, physicists and science historians. Reviews "This is a selected collection (51 out of 156) of journal articles of Walter E. Thirring who has made deep contributions in an almost unbelievably broad field joining mathematics and physics. A pleasant feature of this collected work is the commentary for each article by the author himself, placed at the beginning of each chapter ... The Foreword by Elliott Lieb gives a cohesive picture of extensive works of Thirring and their significance in mathematics and physics."  Mathematical Reviews Table of Contents I. Mathematical Physics  Commentary
 Convexity properties for Coulomb systems
 Bound for the kinetic energy of Fermions which proves the stability of matter
 Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities
 A lower bound with the best possible constant for Coulomb Hamiltonians
 Lower bounds to the energy levels of atomic and molecular systems
 The use of exterior forms in Einstein's gravitation theory
 Asymptotic neutrality of large \(Z\)ions
 Approximate neutrality of large \(Z\)ions
 From relative entropy to entropy
 Dynamical entropy of \(C^*\) algebras and von Neumann algebras
 Dynamical entropy and the third law of thermodynamics
 Quantum \(K\)systems
 Mixing properties of quantum systems
 Chaotic properties of the noncommutative \(2\)shift
 Clustering for algebraic \(K\)systems
 Anosov actions on noncommutative algebras
 \(C^*\)dynamical systems for which the tensor product fails
 Universal nature of the van der Waals forces for Coulomb systems
II. Statistical Physics  Commentary
 A simple theory of superconductivity
 On the mathematical structure of the B.C.S.model
 On the mathematical structure of the B.C.S.model. II
 Systems with negative specific heat
 A soluble model for a system with negative specific heat
 Thermodynamic functions for Fermions with Gravostatic and electrostatic interactions
 Dynamics of unstable systems
 Unpredictability of symmetry breaking in a phase transition
 Bounds on the entropy in terms of one particle distributions
 Asymptotic exactness of finite temperature ThomasFermi theory
 On the equivalence of adiabatic invariance and the KMScondition
 KMS states for the Weyl algebra
 Quasiparticles at finite temperatures
III. Quantum Field Theory  Commentary
 Radiative corrections in the nonrelativistic limit
 A covariant formulation of the BlochNordsieck method
 On the divergence of perturbation theory for quantized fields
 Quantum field theories with Galileiinvariant interactions
 Use of causality conditions in quantum field theory
 A soluble relativistic field theory
 The taming of the dipole ghost
 A model for a diaelectric
 Covariant QED without indefinite metric
IV. General Relativity  Commentary
 An alternative approach to the theory of gravitation
 Quantum field theory in de Sitter space
 How hot is the de Sitter space?
 Fivedimensional theories and CPviolations
 Introduction to KaluzaKlein theory
V. Elementary Particle Physics  Commentary
 On the number of fundamental fields
 Threefield theory of strong interactions
 The \(\omega \rightarrow \pi_0 + \gamma\) decay in the quark model
 Electromagnetic properties of hadrons in the static \(S U_6\) model
 Predictions of the static quark model on boson decays
 Theory of \(p\)wave pionnucleon interaction
 Curriculum vitae
 List of Publications
 Acknowledgments
