Analysis 1, 2, 3, Linear Algebra 1, Classical Mechanics a and b. Linear Algebra 2 needs to be followed in parallel, unless the contents of this course is already known.
The course offers an introduction into quantum mechanics. It starts with the Schrödinger equation, and describes the wave function with its statistical interpretation. Subsequently, a few examples of quantisation are illustrated as solutions of the one-dimensional time-independent Schrödinger equation. A more formal treatment follows with the introduction of Hilbert space and the formulation of quantum mechanics in terms of linear algebra. The final objective is quantum description of the hydrogen atom, which requires a discussion of spherically symmetric three-dimensional systems, orbital angular momentum and spin angular momentum.
Concepts that will be presented include: the Schrödinger equation, Heisenberg’s uncertainty relation, the wave function and its statistical interpretation, stationary states, the wave packet, Hilbert space, tunnelling, a particle in an infinite square well, the harmonic oscillator and the free particle, operators, ladder operators, the Dirac notation, eigenvalue equations, angular momentum and spin, and the quantum description of the hydrogen atom.
Quantum mechanics is strange and counter-intuitive, yet it is extremely accurate and successful in describing the outcomes of experiments. True knowledge and understanding of quantum mechanics require study of many simple example systems and training in the use of the mathematical tools.
In this course the students acquire the ability to independently solve simple problems in quantum mechanics, and therewith builds intuition and understanding of the quantum world.
Mode of instruction
The lectures follow the book by Griffiths and Schroeter, and you are expected to prepare for each lecture by reading the materal (about 15 pages per week). The lectures are offered in English on-line by video link and are optimised for interaction and discussion. After each lecture additional time will be available for free discussion and live chat. The more technical parts of the lectures are offered as pre-recorded video blocks for viewing at each students' own pace.
Exercise classes are orginised in groups. The exercise classes will, for most part, be taught by video link. Teaching assistents will offer step-by-step instruction for solving problems, alternated with blocks of time for the students to solve problems, where assistance is constantly offered. Every week one of the groups is invited for on site meetings.
Written exam with open questions. If this can be arranged the exam will be organised on site in a large hall on campus. Alternatively, the examination could be organised remotely with video surveilance. The exam can be retaken.
Introduction to Quantum Mechanics, third edition,D.J. Griffiths and D.F. Schroeter,Cambridge University Press,ISBN 978-1-107-18963-8
Brightspace is used as the central information source in QM1.
It offers, a.o., an overview of the course material and the program for each week, all powerpoint slides of the lectures, the pre-recorded lectures, the recordings of the live lectures for reviewing, assignments, and examples of exams of previous years.
Registration for Brightspace occurs via uSis by registration for a class activity using a class number
Contact details of the lecturer: Prof.dr. Jan van Ruitenbeek)