Understanding Quantum Many-Body Theory

Part one foundations of quantum many body theory.- Quantum mechanics review.- Second quantization for non relativistic identical particles.- Part two a quantum many body model of a solid.- Step one of the solid model bloch electrons.- Step two of the solid model phonons.- Step three of the solid model electron phonon interaction.- Part three developments of quantum many body theory.- Many body greens functions.- Feynmans perturbative theory of the thermal Greens function.- Finite temperature hartree fock method for fermionic systems.- Phonon propagator.- Linear response theory.- Part four further bosonic quantum fields.- Bose einstein condensation of non interacting bosons.- Bogoljubovs theory for interacting boson systems.- Quantization of the electromagnetic field phonons.- Part five toolkit of group theory and symmetries in physics.- Group theory.- Symmetries.- Part six appendices.

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• A física quântica (mecânica quântica e teoria quântica de campos)
• Grupos e teoria do grupo
• Química quântica e teórica

Many-body field operator formalism;One- and two-body operators in Fock space;Rigorous proof of Bloch's theorem;Canonical quantization of lattice vibrations (phonons);Acoustic and optical phonon branches;Electron-phonon Hamiltonian derivation;Many-body Green's functions derivation;Matsubara formalism at finite temperature;Feynman diagrammatics foundations;Microscopic linear-response theory derivation