Mathematical Methods of Many-Body Quantum Field Theory

Focusing on the mathematical foundations of many-body physics, this book provides a thorough and rigorous approach to the interactions of nuclear particles. It equips readers with essential mathematical tools for analyzing quantum many-body systems, particularly in the context of many-electron systems. Key physical phenomena explored include BCS superconductivity and the fractional quantum Hall effect. Additionally, the author introduces the Feldman, Knoerrer, and Trubowitx Fermi-liquid construction, enhancing the reader's understanding of complex quantum behaviors.