# FYSS7531 Quantum Mechanics 2, part A (6 cr)

**Study level:**

**Grading scale:**

**Language:**

**Responsible organisation:**

**Curriculum periods:**

## 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.

## Additional information

Every spring, 1st period

## Description of prerequisites

## Study materials

## 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:**

**Evaluation criteria:**

**Time of teaching:**

### Method 2

**Description:**

**Evaluation criteria:**

**Parts of the completion methods**

### Teaching (6 cr)

**Type:**

**Grading scale:**

**Evaluation criteria:**

**Language:**

**Study methods:**

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

#### Teaching

##### 1/11–2/24/2022 Lectures

### Independent study (6 cr)

**Type:**

**Grading scale:**

**Evaluation criteria:**

**Language:**

**Study methods:**

Self-study, exercises, exam.