FYSS7531 Quantum Mechanics 2, part A (6 cr)

Study level:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Physics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

Description

• Scattering theory

• Time dependent perturbation theory

• Quantum mechanical charged particle in electromagnetic field

• Open quantum systems and quantum information

• Basics of group theory

• Connection between angular momentum and representations of rotation group

• Mathematical methods mostly familiar from Quantum Mechanics I. New mathematical machinery:

• Calculus of residues (FYSS7301 Complex analysis)
• Groups and representations (group theory course in physics, algebra courses in mathematics)
• These will be briefly introduced in the course, thus the courses mentioned are useful but not compulsory.

Learning outcomes

After the course the student can

• Explain the basics of quantum mechanical scattering theory and use the Born approximation to calculate a scattering amplitude

• Use the different pictures (Schrödinger, Heisenberg and interaction) of time dependence in quantum mechanics

• Calculate transition rates with time dependent perturbation theory (Fermi’s golden rule)

• Descibe the coupling between a classical electromagnetic field and a quantum mechanical charged particle

• Explain the use of the density matrix to describe the properties of open quantum systems and the basics of quantum information

• Explain the relation of quantum mechanical angular momentum to the rotation group and its representations

• Understand the concept of total angular momentum and apply the addition of quantum mechanical angular momenta to physical situations.

Every spring, 1st period

Description of prerequisites

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

Lecture notes

Literature

• J.J. Sakurai and J. Napolitano: Modern Quantum Mechanic
• Bransden and Joachain: Quantum Mechanics
• Nazarov & Danon: Advanced quantum mechanics (ISBN 978-0521761505); ISBN: 978-0521761505

Completion methods

Method 1

Description:
A written exam can be arranged for students who are not able to take the oral exam (for example they have a recommendation for individual study arrangements).
Evaluation criteria:
For example exercises 40 %, pre-tasks 20 %, oral exam 40 %. The different elements will be taken into account in the final grade.
Time of teaching:
Period 3
Select all marked parts

Method 2

Description:
This completion method is aimed for students for whom completion method 1 is not possible (for example due to language, living elsewhere, recommendation for individual study arrangements).
Evaluation criteria:
Exercises and exam.
Select all marked parts
Parts of the completion methods
x

Teaching (6 cr)

Type:
Participation in teaching
0-5
Evaluation criteria:
For example exercises 40 %, pre-tasks 20 %, oral exam 40 %. The different elements will be taken into account in the final grade.
Language:
English, Finnish
Study methods:

Classes, tutorials, exercise problems, (oral) exam.

x

Independent study (6 cr)

Type:
Independent study