Relativistic Quantum Mechanics
Faculteit  Science and Engineering 
Jaar  2018/19 
Vakcode  NARQM12 
Vaknaam  Relativistic Quantum Mechanics 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester II a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Relativistic Quantum Mechanics  
Leerdoelen  The aim of this course is to develop the concepts and techniques of the quantum physics of relativistic particles. At the end of this course the student should be able: 1. To calculate the Hamiltonian and equations of motion of a spin0 and spin1/2 Lagrangian and to derive the conserved charge resulting from a continuous symmetry. 2. To perform the canonical quantization of simple theories and to derive the expression of conserved charges in terms of ladder operators. 3. To calculate and explain the properties of propagators, and explain what these results imply for causality. 4. To analyse the Dirac equation, explain its significance and implications and derive its transformation properties under the Lorentz symmetry. 

Omschrijving  This course extends the formalism of quantum mechanics to relativistic systems. This requires the concept of field theory. We discuss the KleinGordon and Dirac equations for massless spin0 and spin1/2 fields, respectively. Secondly, we perform the canonical quantization of these field theories. We discuss the conceptual and calculational aspects of the resulting operators, states and propagators. Throughout this course we emphasize the similarity to and differences with quantum mechanics.  
Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
(32 LC, 14 T, 20 ASM, 6 ASM, self study 68) 

Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE)
(80% WE, 10% AST, 10% AST) 

Vaksoort  bachelor  
Coördinator  prof. dr. E.A. Bergshoeff  
Docent(en)  prof. dr. E.A. Bergshoeff ,prof. dr. D. Roest  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes prior knowledge acquired from the courses Quantum Physics 1 and Quantum Physics 2 of the BSc Physics degree programme.  
Opmerkingen  The assessment consists of three separate parts: Peer instruction questions during every lecture of the course (building on the preclassroom reading), whose average contributes 10% to the final grade, Short tests of the weekly homework assignments during the course, whose average contributes 10% to the final grade A written exam at the end of the course, which will contribute 80% to the final grade 

Opgenomen in 
