Many-Particle Physics, Third Edition by Gerald D. Mahan is a comprehensive textbook on the physics of many-body systems. The book is part of the Physics of Solids and Liquids series, edited by several prominent physicists. It covers a wide range of topics in many-body theory, including Green's functions, Feynman diagrams, and the theory of electron-phonon interactions. The third edition includes new sections on topics such as the Bethe lattice, the Hubbard model, and the Quantum Hall effect, as well as updated information on high-temperature superconductivity. The book is structured into 11 chapters, each covering a specific topic in many-body physics. The first chapter introduces the basic concepts of many-body theory, including harmonic oscillators, phonons, and spin Hamiltonians. The second chapter discusses Green's functions at zero temperature, including the interaction representation, the S matrix, and the Dyson equation. The third chapter covers nonzero temperatures, including Matsubara Green's functions, frequency summations, and the Kubo formula for electrical conductivity. The fourth chapter presents exactly solvable models, including potential scattering, localized states, and the Bethe lattice. The fifth chapter discusses the homogeneous electron gas, including exchange and correlation, the Wigner lattice, and the properties of the electron gas. The sixth chapter covers strong correlations, including the Kondo model, the single-site Anderson model, and the Hubbard model. The seventh chapter discusses electron-phonon interactions, including the Fröhlich Hamiltonian, small polaron theory, and heavily doped semiconductors. The eighth chapter covers dc conductivities, including electron scattering by impurities, mobility of Fröhlich polarons, and electron-phonon relaxation times. The ninth chapter discusses optical properties of solids, including nearly free-electron systems, Wannier excitons, and X-ray spectra in metals. The tenth chapter covers superconductivity, including the Cooper instability, superconducting tunneling, and strong coupling theory. The eleventh chapter discusses superfluids, including liquid 4He, liquid 3He, and the quantum Hall effect. The book also includes a list of references, an author index, and a subject index.Many-Particle Physics, Third Edition by Gerald D. Mahan is a comprehensive textbook on the physics of many-body systems. The book is part of the Physics of Solids and Liquids series, edited by several prominent physicists. It covers a wide range of topics in many-body theory, including Green's functions, Feynman diagrams, and the theory of electron-phonon interactions. The third edition includes new sections on topics such as the Bethe lattice, the Hubbard model, and the Quantum Hall effect, as well as updated information on high-temperature superconductivity. The book is structured into 11 chapters, each covering a specific topic in many-body physics. The first chapter introduces the basic concepts of many-body theory, including harmonic oscillators, phonons, and spin Hamiltonians. The second chapter discusses Green's functions at zero temperature, including the interaction representation, the S matrix, and the Dyson equation. The third chapter covers nonzero temperatures, including Matsubara Green's functions, frequency summations, and the Kubo formula for electrical conductivity. The fourth chapter presents exactly solvable models, including potential scattering, localized states, and the Bethe lattice. The fifth chapter discusses the homogeneous electron gas, including exchange and correlation, the Wigner lattice, and the properties of the electron gas. The sixth chapter covers strong correlations, including the Kondo model, the single-site Anderson model, and the Hubbard model. The seventh chapter discusses electron-phonon interactions, including the Fröhlich Hamiltonian, small polaron theory, and heavily doped semiconductors. The eighth chapter covers dc conductivities, including electron scattering by impurities, mobility of Fröhlich polarons, and electron-phonon relaxation times. The ninth chapter discusses optical properties of solids, including nearly free-electron systems, Wannier excitons, and X-ray spectra in metals. The tenth chapter covers superconductivity, including the Cooper instability, superconducting tunneling, and strong coupling theory. The eleventh chapter discusses superfluids, including liquid 4He, liquid 3He, and the quantum Hall effect. The book also includes a list of references, an author index, and a subject index.