The Quantum Mechanics of Many-Body Systems by D.J. Thouless

By D.J. Thouless

Written by way of a co-winner of the 2016 Nobel Prize in physics, this monograph introduces complicated undergraduates and graduate scholars of physics to the "many-body" concept in theoretical physics. The remedy addresses difficulties and recommendations relating to nuclear and atomic physics, the electron concept of metals, and the theories of liquid helium 3 and four.
A unified account of the sphere instead of an outline of parallel tools, the text's major thematic methods comprise the self-consistent box and its generalizations, perturbation concept and using Feynman diagrams, and using eco-friendly features to explain excitations of a many-body method. the first emphasis is at the theories of atomic nuclei, the electron gasoline, superconductivity, and liquid helium 3. A familiarity with the foundations of nonrelativistic quantum mechanics and statistical mechanics is believed, yet a close wisdom of nuclear and strong nation physics is unnecessary.

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Constructive Physics Results in Field Theory, Statistical by Vincent Rivasseau

By Vincent Rivasseau

Addressing graduate scholars and researchers in physics and arithmetic, this booklet fills a spot within the literature. it really is an creation into smooth confident physics, box idea and statistical mechanics and a survey at the most up-to-date study during this box. It provides the most technical instruments reminiscent of cluster growth and their implementation within the rigorous renormalization staff, and experiences actual types in a few element. The reader will discover a research of the ultraviolet restrict of the Gross-Neveu version, of constant symmetry breaking and of self-avoiding random walks in statistical mechanics, in addition to functions to solid-state physics. Mathematicians will locate optimistic equipment important for reports in partial differential equations.

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