Relativistic Quantum Mechanics and Field Theory
- ECTS credits
- Teaching semesters
- Course code
- Number of semesters
- English if English speaking students attend the seminars, otherwise Norwegian
Objectives and Content
The course is to give an understanding of the effects of special relativity in quantum mechanics and to give an introduction into quantum field theory.
The course covers relativistic quantum mechanics, expressed by the Dirac equation, including Lorentz covariance of the equation and the existence of antiparticles. The course also covers quantization of the Klein-Gordon field, the Dirac field and the photon field. The course forms the basis for more advanced studies of field theory and for understanding relativistic effects in atomic physics.
On completion of the course
the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
- Is able to explain the Dirac equation and its free-particle solutions
- Is able to explain the existence of antiparticles
- Is able to explain the plane-wave expansions of scalar, Dirac and photon fields
- Is able to explain canonical momentum and the quantization of fields
- Is able to explain microcausality and the Feynman propagator
- Is able to explain the S-matrix
- Knows how to derive conservation laws from symmetries
- Knows how to express observables in field theory in terms of annihilation and creation operators
- Is able to present calculations to peers
Semester of Instruction
Recommended Previous Knowledge
Credit Reduction due to Course Overlap
Forms of Assessment
- 2 graded problem sets, 25% of total grade. Valid for 6 semester.
- Oral examination, 75% of total grade.