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Program, courses and calendar Master ICFP 1st year (2022-2023)
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Program, courses and calendar Master ICFP 2nd year 2022-2023
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Program, courses and calendar Master ICFP 1st year (2021-2022)
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Archives 2015-2016
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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
Why choose this program?
Program, courses and calendar Master ICFP 1st year (2023-2024)
2023-2024 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 1st year (2022-2023)
2022-2023 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 2nd year 2023-2024
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2023/2024
"Physics Now" Seminars 2022/2023
Internships
2023 2024 calendar
Program, courses and calendar Master ICFP 2nd year 2022-2023
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2022/2023
Internships
2022 2023 calendar
Admission and Language Requirements
How to apply
Information for students
Information for International Students
Fees and Scholarships
Careers
Master Intranet
Archives
Erreur ( A supprimer)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 2nd year 2021-2022
Program, courses and calendar Master ICFP 2nd year 2020-2021
Program, courses and calendar Master ICFP 2nd year 2019-2020
Archives 2015-2016
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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
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 : Adel Bilal
Chargés des TD : Guilhem Semerjian, Fedor Levkovich-Maslyuk et Achilleas Passias
ECTS : 6
Langue d’enseignement : anglais
Mots-clefs : mécanique quantique relativiste, Equation de Dirac, champs quantiques libres, diagrammes de Feynman
Contrôle : examen écrit (3 à 4 heures)
Prérequis : Une bonne connaissance de la mécanique quantique (non-relativiste) et quelques notions de la relativité restreinte.
Des connaissances élémentaires des groupes et des représentations seront utiles mais pas nécessaires voir ici 
Ce cours a pour but de donner un cadre et une formulation relativiste de la mécanique quantique.
Après un rappel des bases de la relativité restreinte et de la mécanique quantique, la première partie de ce cours traite de ce qu’on appelle communément « mécanique quantique relativiste ». Nous introduirons des généralisations relativistes de l’équation de Schrödinger, à savoir les équations de Klein-Gordon et de Dirac. Nous étudierons les propriétés et les problèmes de ces équations d’ondes relativistes quelque peu en détail. Comme exemple d’un calcul utile nous déterminerons le spectre relativiste de l’atome d’hydrogène.
La deuxième partie de ce cours donnera le cadre pour faire correctement une théorie quantique relativiste en introduisant la théorie quantique des champs. Nous étudierons les champs scalaires (de Klein-Gordon), spinoriels (de Dirac), ainsi que vectoriels. Un point central sera de décrire les interactions, ce qui nous conduira à la notion de matrice S et à l’introduction (et au calcul !) des diagrammes de Feynman.
exam_2017-18.pdf
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
RECRUITMENT DIRECT ACCESS
The Department of Physics