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    Eléments de mécanique analytique

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    Program, courses and calendar 2022 - 2023  2022-2023 Timetable and calendar  Courses  Internships  Program, courses and calendar 2023 - 2024  2022-2023 Timetable and calendar  Courses  Internships  Program, courses and calendar 2021 - 2022  2021-2022 Timetable and calendar  Courses  Internships  Admissions  Recrutement sur concours  Recrutement sur dossier : Concours normalien étudiant  Contacts  Seminars  Seminars  2023-2024 FIP/ICFP seminar Program  Undergraduate program Intranet  Archives  Archives 2015-2016  Archives 2016-2017  Archives 2017-2018  Archives 2018-2019  Archives 2019-2020  Archives 2020-2021 
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    The Doctoral School Physics in Ile de France (EDPIF - ED564)  Physics for all 
    Astrophysical Astronomy of Île-de-France (ED 127)  Agrégation de physique  ENS Diploma  Student handbooks  Contact us 

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    November 14 - 18, 2022 :
    All information about the program

    Contact us - Student support and Graduate School office :
    Tél : 01 44 32 35 60
    enseignement@phys.ens.fr

    Quick links

    Next student seminar :
    Access to the program

    Here you can find information about your internships:
    Experimental Internship - Undergraduate program
    Master ICFP first year Internship

    News : ICFP Research seminars
    November 14 - 18, 2022 :
    All information about the program

    Contact us - Student support and Graduate School office :
    Tél : 01 44 32 35 60
    enseignement@phys.ens.fr

    Enseignant : Jean-François Allemand
    Chargés de TD : Lionnel Djadaojee, Quentin Redon
    ECTS : 6

     

    Description

    Ce cours présente une introduction à la mécanique analytique. Loin de se cantonner à la mécanique, les principes variationnels sont présents dans tous les domaines de la physique (optique, hydrodynamique, mécanique quantique, etc...), ce que nous illustrerons lors des travaux dirigés.
    ce cours aborde des notions fondamentales nécessaires pour le cours de mécanique quantique (formulation hamiltonienne), et des outils utiles pour le cours de relativité et électromagnétisme.

    La fin du cours présentera une introduction aux méthodes de perturbation (échelle multiples, WKB entre autres).

    Points abordés :

    - Formulation variationnelle de la mécanique : principe de moindre action
    - Formalisme lagrangien et applications : principes variationnels
    - Méthode des multiplicateurs de Lagrange
    - Formulation hamiltonienne
    - Espace des phases, théorème de Liouville, crochets de Poisson
    - Méthode de Hamilton-Jacobi
    - Méthodes de perturbations

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    Next student seminar :
    Access to the program

    Here you can find information about your internships:
    Experimental Internship - Undergraduate program
    Master ICFP first year Internship

    News : ICFP Research seminars
    November 14 - 18, 2022 :
    All information about the program

    Contact us - Student support and Graduate School office :
    Tél : 01 44 32 35 60
    enseignement@phys.ens.fr

     
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