Admission requirements
Prior knowledge of Klassieke Mechanica a, Elektrische en Magnetische Velden, Analyse 1 (NA), Analyse 2 (NA) en Lineaire Algebra 1 (NA). It is to be expected that the student is taking Analysis 3 NA and Lineaire Algebra 2 (NA).
Description
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.
Course objectives
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.
Schedule
The timetables are available through My Timetable (see the button in the upper right corner).
Teaching method
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.
Exercise classes are orginised in groups. 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.
See Brightspace
Assesment method
Written exam with open questions. The exam can be retaken.
Resit, review & feedback
Examinations are held twice during the academic year for each component offered in that academic year. Midterm tests cannot be retaken. The Board of Examiners determines the manner of resit for practical assignments.
For review and feedback, see Brightspace.
Reading list
Introduction to Quantum Mechanics, third edition, D.J. Griffiths and D.F. Schroeter, Cambridge University Press, ISBN 978-1-107-18963-8
Registration
Enrolment through MyStudyMap (button in upper right corner) is mandatory. General information about course and exam enrolment is available on the website.
Contact
For substantive questions, contact the lecturer(s) (listed in the right information bar).
Remarks
Software
Starting from the 2024/2025 academic year, the Faculty of Science will use the software distribution platform Academic Software. Through this platform, you can access the software needed for specific courses in your studies. For some software, your laptop must meet certain system requirements, which will be specified with the software. It is important to install the software before the start of the course. More information about the laptop requirements can be found on the student website.