FYSS7531 Quantum Mechanics 2, part A (6 cr)

Open the course unit brochure on Sisu
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Physics
Curriculum periods:
2024-2025, 2025-2026, 2026-2027, 2027-2028

Description

  • Scattering theory

  • Time dependent perturbation theory

  • Quantum mechanical charged particle in electromagnetic field

  • Open quantum systems and basics of 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

FYSA2030 Quantum Mechanics, part A and FYSA2032 Quantum Mechanics, part B

Study materials

TIM, 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:
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 and preliminary exercises.
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
Grading scale:
0-5
Evaluation criteria:
<p>Participation in teaching, exercises and oral exam</p>
Language:
English, Finnish

Teaching

x

Independent study (6 cr)

Type:
Independent study
Grading scale:
0-5
Evaluation criteria:
Exercises and exam.
Language:
English, Finnish
Study methods:

Self-study, exercises, exam. 

Teaching