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.

Contacts

Responsable(s) de l'enseignement

• Boris Hippolyte

MCC

Les épreuves indiquées respectent et appliquent le règlement de votre formation, disponible dans l'onglet Documents de la description de la formation.

Régime d'évaluation

CT (Contrôle terminal, mêlé de contrôle continu)

Coefficient

3.0

Évaluation initiale / Session principale - Épreuves

Seconde chance / Session de rattrapage - Épreuves