University of Liege | Version française
Academic year 2014-2015Value date : 31/10/2014
PHYS2012-1  Relativistic quantum mechanics and relativistic statistics

Duration :  20h Th, 5h Pr
Number of credits :  
Master in Physical Sciences, in-depth approach, 1st year4
Master in Physical Sciences, in-depth approach, 2nd year4
Master in Space Sciences, Research focus, 1st year3
Master in Space Sciences, Research focus, 2nd year3
Master in Physical Sciences, didactic approach, 1st year4
Master in Physical Sciences, didactic approach, 2nd year4
Master in Physical Sciences, specialized approach, 1st year4
Master in Physical Sciences, specialized approach, 2nd year4
Master in Physical Sciences4
Lecturer :  Peter Schlagheck
Language(s) of instruction :  
French language
Organisation and examination :  
Teaching in the first semester, review in January
Course contents :  
The aim of this course is to familiarize the student with relativistic quantum mechanics. It essentially covers the relativistic wave equations (Klein-Gordon, Dirac, Maxwell) for spin 0, spin 1/2 or spin 1 particles. It is explained through the formalism of second quantization how such equations imply a bosonic or fermionic character of the associated particles.
Topics of the course in detail: - special relativity - Maxwell's equations - quantization of fields - Klein-Gordon equation - Dirac equation - Pauli equation and its relativistic corrections
Learning outcomes of the course :  
Principal objectives of this course: - to understand the notion of relativistic covariance and its implications - to get familiarized with the fundamental equations (Maxwell/Klein-Gordon and Dirac) that govern the dynamics of the elementary particles in our universe - to understand the association of the (integer or half-integer) spin with the (bosonic or fermionic) statistics of a particle - to understand how non-relativistic quantum mechanics emerges as limiting case of relativistic quantum mechanics - to prepare for the course "Quantum field theory"
Prerequisites and co-requisites/ Recommended optional programme components :  
Having followed an introductory course on non-relativistic quantum mechanics
Planned learning activities and teaching methods :  
Mode of delivery (face-to-face ; distance-learning) :  
The course will be given "ex cathedra" on the blackboard.
Recommended or required readings :  
Recommended literature: - J. Bjorken & S. Drell: "Relativistic Quantum Mechanics" (McGraw-Hill, 1964) - A.S. Davydov: "Quantum Mechanics" (chapter VIII) (Pergamon, 1965) - W. Greiner: "Relativistic Quantum Mechanics: Wave Equations" (Springer 1987) - L.D. Landau & E.M. Lifshits: "Relativistic Quantum Theory" (Pergamon, 1971)
Assessment methods and criteria :  
The evaluation will be done by an individual oral exam of 30 minutes on the contents of the course.
Work placement(s) :  
Organizational remarks :  
Contacts :  
Peter Schlagheck Département de Physique Université de Liège IPNAS, building B15, office 0/125 Sart Tilman 4000 Liège Phone: 04 366 9043 Email: Peter.Schlagheck@ulg.ac.be http://www.pqs.ulg.ac.be



Home

Bachelors, masters, advanced master et AESS

Lifelong Learning Education

Doctorat (Ph.D.)

Search by teacher

Search by course code and title

Students and Studies Administration - Academic Affairs - Contact : Monique Marcourt, General Director for Education and Training - Developed by SEGI