Mathematical Methods of Many-Body Quantum Field Theory by Detlef Lehmann (Englis

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Offers a comprehensive, mathematically rigorous treatment of many-body physics. This book develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system.

FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description

Many-body theory, used to describe the interaction of nuclear particles is widely studied in physics, but most of the literature on the topic is scattered and not always presented in a rigorous manner. Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for the description of quantum many-body systems and applies them to the many-electron system. The physical effects discussed include BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect, and the author provides a full introduction the Feldman, Knoerrer, and Trubowitx Fermio-liquid construction.

Author Biography

Lehmann, Detlef

Table of Contents

Introduction. Second Quantization. Perturbation Theory. Gaussian Integration and Grassmann Integrals. Bosonic Functional Integral Representation. BCS Theory and Spontaneous Symmetry Breaking. The Many-Electron System in a Magnetic Field. Feynman Diagrams. Renormalization Group Methods. Resummation of Perturbation Series. The 'Many-Electron Millennium Problems'. References.

Review

"The book is clearly written, and all computations are performed in full detail."—Mathematical Reviews"The presentation is mathematically rigorous, where possible. The author's aim was to create a book containing enough motivation and enough mathematical details for those interested in this advanced and important field of contemporary mathematical physics."—European Mathematical Society

Review Quote

"The book is clearly written, and all computations are performed in full detail." -- Mathematical Reviews "The presentation is mathematically rigorous, where possible. The author's aim was to create a book containing enough motivation and enough mathematical details for those interested in this advanced and important field of contemporary mathematical physics." --European Mathematical Society

Details ISBN1584884908 Author Detlef Lehmann Short Title MATHEMATICAL METHODS OF MANY-B Language English ISBN-10 1584884908 ISBN-13 9781584884903 Media Book Format Hardcover DEWEY 530.143 Series Number 436 Year 2004 Imprint Chapman & Hall/CRC Edition 1st Pages 264 Residence US Affiliation TU Berlin FB Mathematik, Berlin, Germany DOI 10.1604/9781584884903 AU Release Date 2004-08-30 NZ Release Date 2004-08-30 US Release Date 2004-08-30 UK Release Date 2004-08-30 Illustrations 22 Illustrations, black and white Series Chapman & Hall/CRC Research Notes in Mathematics Series Publication Date 2004-08-30 Alternative 9780367393908 Audience General Publisher Taylor & Francis Inc Country of Publication United States We've got this

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