FYSS7532 Quantum Mechanics 2, part B (6 cr)
Learning outcomes
At the end of the course, students will be able to use the second quantization to describe many-particle systems both in bosonic and fermionic systems. Students will be able to explain the basic properties of the Fermi sea as well as use mean field theory in some simple problems, Feynman path integrals in describing an elementary problem (spinless particle in a 1D potential) and the Dirac equation to describe spin-1/2 particles in the relativistic limit. They will also be able to describe the hydrogen atom in the relativistic limit and quantize the electromagnetic field, and explain the differences of transition rates for classical and quantum electromagnetic fields (spontaneous emission).
Study methods
Assignments, oral examination, traditional examination
Content
Many-particle systems, second quantization; Fermi sea; mean field theory; Feynman path integrals; relativistic quantum mechanics; quantization of electromagnetic fields
Further information
Given on spring semester 2nd period, every year.
Materials
Lecture notes
Literature:
| ISBN-number | Author, year of publication, title, publisher |
|---|---|
| 978-013111892 | D.J. Griffits, Introduction to Quantum Mechanics (ISBN 978-0131118928) |
| 978-0521761505 | Nazarov & Danon: Advanced quantum mechanics (ISBN 978-0521761505) |
| 978-0750309837 | M. Nakahara & T. Ohmi: Quantum Computing: From Linear Algebra to Physical Realizations (ISBN 978-0750309837) |
Assessment criteria
To pass the course: At least half of total points from assignments and examinations and at least 25 % of the points from assignments and examinations, respectively. Extra points are available from brief presentations at the beginning of each lecture. Optionally, at least half of the examination points.
Prerequisites
FYSS7531 Quantum Mechanics 2, part A