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

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

## 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

Lecture notes

## 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

Description:
Students for whom oral exam is not possible due to special reasons will get to replace it by a home exam (for example, recommendation on personal study arrangements).
Evaluation criteria:
Exercises 40 %, preliminary exercises 20 %, oral exam 40 %. Individual parts graded separately, and the final grade is obtained by weighted average of the normalized points from each part. Self-evaluation of the written exercises. Preliminary exercises 0-2 p/exercise as a self-evaluation.
Time of teaching:
Period 4
Select all marked parts

### Method 2

Description:
This completion method is intended for students for whom method 1 is not possible for specific reasons (e.g. language, living elsewhere). The course lecturer must be contacted before enrolling on the course.
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:
Exercises 40 %, preliminary exercises 20 %, oral exam 40 %. Individual parts graded separately, and the final grade is obtained by weighted average of the normalized points from each part. Self-evaluation of the written exercises. Preliminary exercises 0-2 p/exercise as a self-evaluation.
Language:
English, Finnish
Study methods:

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

x

### Independent study (6 cr)

Type:
Independent study