Stockholm university
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Advanced Quantum Mechanics

Do you want to deepen your knowledge about quantum mechanics? In this course you will learn more about quantum mechanics both from a theoretical perspective and in connection to realistic descriptions of physical systems.

In this course you will learn about basic concepts and methods in non-relativistic quantum mechanics, such as Dirac notation, Hermitian operators, Hilbert spaces and the position and momentum representation. You will also deepen your knowledge in the connection between quantum mechanics and linear algebra, the generalized uncertainty principle and the connection between quantum mechanics and classical physics. The course also covers descriptions of more realistic physical problems by focusing on the time-dependent Schrödinger equation and wave packets, time-dependent perturbation theory and basic scattering theory. You will also meet quantum mechanical entaglement and Bell's inequality and get an introduction to density matrices.

This course is also an excellent base for further studies in physics on advanced level.

  • Course structure

    This is a first cycle course given during daytime at half speed. The course is part of the bachelor programme in physics, but can also be studied as a standalone course.

    Teaching format

    The teaching consists of lectures and exercise sessions. The lectures are based on traditional black board teaching where the key parts of the course are covered. The lectures are at the same time interactive and the students are challenged to actively analyse and conceptualise the course content. The exercise sessions contain applied exercises and are based on problem solving by the students.


    The course is examined through a written exam at the end of the course and hand-in exercises during the course.


    Emil Bergholtz

    Phone: +468-553 780 35


  • Schedule

    The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.
  • Course literature

    Note that the course literature can be changed up to two months before the start of the course.

    Modern Quantum Mechanics, J J Sakurai, ISBN: 9781292024103

    A newer edition of the book can also be used, such as ISBN: 9781108473224 or ISBN: 9781108422413.

    If you can find the older version with ISBN: 9780321503367 it is preferable as it includes additional chapters useful in more advanced courses.


  • Course reports

  • Contact

    Course coordinator and teacher:
    Emil Bergholtz, phone: +468-553 780 35, e-mail:

    Johan Carlström, e-mail:

    Laboratory supervisor:
    Mohamed Bourennane, phone: +468-553 787 36, e-mail:
    Thomas Louis Daugey,  e-post:

    Oscar Arandes Tejerina


    Academic advisor at the Department of Physics:

    Student office: