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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.

Contact

Responsable(s) de l'enseignement
Boris Hippolyte : boris.hippolyte@unistra.fr