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 theo
"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
Innehållsförteckning
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.
