TIF290 / FYM290 Quantum mechanics lp1 HT23 (4.5 hp)
The course is offered by the department of Physics.
- Matthias Geilhufe, Assistant Professor, Condensed Matter and Materials Theory, Department of Physics, Chalmers
- Hjalmar Andersson, PhD Student, Condensed Matter and Materials Theory, Department of Physics, Chalmers
- Einar Urdshals, PhD Student, Subatomic, High Energy, and Plasma Physics, Department of Physics, Chalmers
- Cameron Calcluth, PhD Student, Applied Quantum Physics, Department of Microtechnology and Nanoscience, Chalmers
- Timo Gahlmann, PhD Student, Condensed Matter and Materials Theory, Department of Physics, Chalmers
TIF290 / FYM290 is an advanced course on quantum mechanics. The purpose of the course is:
- Develop an abstract understanding of quantum mechanics and the capability of modeling quantum systems
- Interpret the implications of quantum mechanics and build an intuition for where quantum phenomena become relevant
- Develop the connection of the abstract mathematical formalism and applications, such as quantum technology and matter
Today, many fantastic books on quantum mechanics have been published and most of the course content can be found in several books.
Traditionally, this course is based on:
J.J. Sakurai, Jim Napolitano, Modern Quantum Mechanics, Third Edition, Cambridge University Press, 2021
Franz Schwabl, Quantum Mechanics, Fourth Edition, Springer, 2007
John S. Townsend, A modern approach to quantum mechanics, California University Science Books, Second edition, 2012
The course consists of the following main components
- Lectures (12)
- Exercise classes / homework assignments (3)
- Self-study sessions (8)
During the lectures, we will cover the main study material:
- Foundations of quantum mechanics
- Quantum dynamics
- Many-body physics
- Scattering theory
- Matter in electromagnetic fields and light-matter interaction
Exercise classes / homework assignments
During the course, you will work on 3 homework assignments. By successfully solving a homework assignment, you can collect points. These points are relevant for the final exam. You need at least 4 points to participate in the final exam, and at least 6 points to qualify for passing the exam with grades 4 or 5 (Chalmers) or VG (GU), respectively.
The due dates for the homework assignments will be:
- Homework assignment 1: September 12th, 2023
- Homework assignment 2: September 25th, 2023
- Homework assignment 3: October 10th, 2023
After submitting each homework assignment, there will be a dedicated exercise class, where the solution of the assignments are discussed.
Self-study sessions ("räknestuga")
You will deepen your understanding of quantum mechanics throughout self-study sessions. In these sessions, there are three rooms available, coordinated by one teacher each. The aim of the self-study sessions is:
- train concepts of quantum mechanics
- ask questions and discuss
- work individually or in groups
- time can be used for homework assignments or additional (training) material
Learning objectives and syllabus
Foundations of quantum mechanics
- Axioms of quantum mechanics
- "bra-ket" and Hilbert space formalism
- Quantum measurement (problem)
- Density matrix and statistical ensembles
- Schrödinger and Heisenberg pictures
- correspondence principle between classical and quantum mechanics
- Path integral formalism
- second quantization / occupation number formalism
- electrons / phonons / photons
- cross-section of quantum particles interacting with a potential, another particle, or a crystal
Matter in electromagnetic fields and light-matter interaction
- Zeeman, Aharonov-Bohm effect, Landau levels
- Spontaneous and stimulated emission and discuss their importance for lasers
- Introduction to cavity QED and its applications
- Read scientific literature on the above topics
The final exam will be an oral exam. The final grade depends on your performance during the homework assignments. You need to collect a total of 4 points to qualify for the exam and potentially passing the course. You require at least 6 points to qualify for passing the exam with grades 4 or 5 (Chalmers) or VG (GU), respectively.
- Date and time: will be announced soon.
- Permitted aids: will be announced soon.
The syllabus page shows a table-oriented view of course schedule and basics of course grading. You can add any other comments, notes or thoughts you have about the course structure, course policies or anything else.
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