Analytical and quantum mechanics and special relativity
- Cours (CM) 20h
- Cours intégrés (CI) -
- Travaux dirigés (TD) -
- Travaux pratiques (TP) -
- Travail étudiant (TE) -
Langue de l'enseignement : Anglais
Description du contenu de l'enseignement
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
Faculté de physique et ingénierie
3-5, rue de l'Université67084 STRASBOURG CEDEX
Formulaire de contact
Responsable
Boris Hippolyte
