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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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