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Quantum physics, Analytical mechanics, Special relativity
Master PhysiqueParcours Subatomic and astroparticle physics
ComposanteFaculté de physique et ingénierie
Description
Elements of analytical mechanics, quantum mechanics and special relativity
- Analytical mechanics :
- Euler-Lagrange equation, generalized coordinates, constant of the motion, Lagrange constraints and multipliers.
- From Lagrandian to Hamiltonian, Hamilton equations, Poisson brackets, canonical transformations.
- Varationional principle, conservation laws, Noether’s theorem.
- Lagrangian description of continuous media.
- Quantum mechanics :
- Postulates, Schrödinger equation, observables and corresponding operators.
- Coupling of orbital moment, perturbation theory, varationional method.
- Density matrix, second quantification.
- Special relativity for subatomic physics :
- Postulates, Lorentz transformations, Minkowski space, lengths contraction and time dilation.
- Energy-monentum quadrivectors and relativistic kinematics.
- Dirac equations, derivation, formulation with gamma-matrices and solutions.