# FYSS7532 Quantum Mechanics 2, part B (6 cr)

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## Description

Many-body quantum mechanics

Feynman path integrals

Relativistic quantum mechanics

Quantized electromagnetic field

## Learning outcomes

At the end of the course, the students will be able to

Identify and explain the basic starting point of many-particle quantum mechanics

Apply the formalism of second quantization for the description of many-particle phenomena both for bosons and fermions

Explain the basic principle of the Fermi gas and some of its properties

Apply mean field theory in describing interacting many-particle systems

Explain the idea of Feynman path integrals and use them in some elementary cases

Explain the relativistic limit of quantum mechanics, and use the Dirac equation to describe spin-1/2 particles in the relativistic limit

Explain the basic idea of quantized electromagnetic field, and properties deriving from this especially in describing transition rates.

## Description of prerequisites

FYSA2031-FYSA2032 Quantum mechanics, parts A & B

FYSS7531 Quantum mechanics 2, part A

## Study materials

## Literature

- Yu. V. Nazarov and J. Danon, Advanced Quantum Mechanics (Cambridge University Press, 2013)
- D.J. Griffits, Introduction to Quantum Mechanics, ISBN: 978-013111892
- Landau & Lifshitz, Quantum mechanics
- J.J. Sakurai & J.J. Napolitano, Modern Quantum Mechanics (2nd edition, Pearson Education, 2014)
- Walter Greiner, Quantum Mechanics – an introduction (3rd edition, Springer, 1994)

## Completion methods

### Method 1

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### Method 2

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### Teaching (6 cr)

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Exercises, tutorials, preliminary exercises, mini-lecture containing demonstrations of the preliminary exercise solutions, (oral) exam.

#### Teaching

##### 3/15–5/5/2022 Lectures

### Independent study (6 cr)

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Self-study, exercises and exam.