FYSS7531 Quantum Mechanics 2, part A (6 cr)

Grading scale
0-5
Teaching languages
English , Finnish

Learning outcomes

At the end of this course, students will be able to explain the basics of quantum-mechanical scattering theory, and use Born approximation to calculate scattering amplitudes. Students will be able to use different pictures of time-dependent quantum mechanics (Schr枚dinger, Heisenberg and interaction pictures) as well as calculate transition rates using time dependent perturbation theory, applying the Fermi Golden Rule. They will be able to describe the coupling of classical electromagnetic field in the quantum dynamics of charged particles. They will also be able to use density operators to describe open quantum systems, explain the basics of quantum information, explain the concept of total angular momentum and its relation to the generator of rotations in spinful systems as well as derive matrix representations for rotation operators.

Study methods

Assignments, oral examination, traditional examination

Content

Scattering theory; time-dependent perturbation theory; quantum-mechanical charged particles in an electromagnetic field; open quantum systems and quantum information; rotations and spin; some basics of group theory

Further information

Given on spring semester 1st period, every year.

Materials

Lecture notes

Literature:

ISBN-number Author, year of publication, title, publisher
978-0131118928) 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

FYSA2031 Quantum Mechanics, part A and FYSA2032 Quantum Mechanics, part B