Elements of Classical and Quantum Physics

Physical theories, fundamental constants and the role of Mathematics.- Analytical Mechanics.- Dirac's delta.- Green's functions for Electromagnetism.- Equilibrium Thermodynamics.- Classical Statistical Mechanics.- Relativity.- Particles and waves from classical to Quantum Mechanics.- Schroedinger equation.- Elementary solutions in one dimension.- Postulates and formulations of Quantum Mechanics.- Separation of variables.- Angular momentum-Hydrogen atom.- Discrete models.- Fano resonances and Green's functions.- Spin.- Quantum statistics and many-body phenomena.- Non-equilibrium phenomena and quantum transport.- Berry Phase.- Quantum Statistical Mechanics.- Entanglement, EPR paradox. Teleportation.- Perturbation theory.- Variational method in Quantum Mechanics.- Recursion methods.- Mathematical appendices: Tensors - Hermite and Laguerre Polynomials.

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• Mecânica clássica
• Termodinâmica e calor
• A física quântica (mecânica quântica e teoria quântica de campos)

Quantum Mechanics textbook;Non equilibrium phenomena;Berry's phase;Green's functions for electromagnetism;Foundations and development of quantum theory;Quantum theory textbook;Classical statistical mechanics;Particles and waves from classical to quantum mechanics;Variational method in quantum mechanics;EPR paradox and teleportation