Mathematical Methods of Many-Body Quantum Field Theory
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A01=Detlef Lehmann
advanced quantum many-body systems
Author_Detlef Lehmann
BCS Model
BCS Theory
Bosonic Model
Category=PH
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Fermi Surface
Feynman diagram techniques
Feynman Diagrams
Fractional Quantum Hall
fractional quantum Hall effect
functional integrals
Generalized Vertices
Global Minimum
Grand Canonical Ensemble
Grassmann Variables
Hubbard Stratonovich Transformation
Ideal Fermi Gas
Integral Equations
Inversion Formula
Log Det
Lowest Landau Level
Lowest Order Contributions
Lowest Order Terms
Order Diagram
Partition Function
Perturbation Series
renormalization group theory
Saddle Point Approximation
second quantization methods
superconductivity theory
Weak Coupling Case
Wick's Theorem
Wick’s Theorem
Product details
- ISBN 9780367393908
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 05 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theory, functional integral methods, bosonic and fermionic, and estimation and summation techniques for Feynman diagrams. Among the physical effects discussed in this context are BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect. While the presentation is mathematically rigorous, the author does not focus solely on precise definitions and proofs, but also shows how to actually perform the computations.
Presenting many recent advances and clarifying difficult concepts, this book provides the background, results, and detail needed to further explore the issue of when the standard approximation schemes in this field actually work and when they break down. At the same time, its clear explanations and methodical, step-by-step calculations shed welcome light on the established physics literature.
Lehmann, Detlef
