SI2380 Advanced Quantum Mechanics 7.5 credits

Kvantmekanik, fortsättningskurs

"Advanced Quantum Mechanics" is a basic continuation course in quantum mechanics that aim at the applications of quantum mechanics. The course should give you deeper knowledge about the foundations of quantum mechanics and skills in problem solving in quantum mechanics.

  • Education cycle

    Second cycle
  • Main field of study

  • Grading scale

    A, B, C, D, E, FX, F

Course offerings

Autumn 19 TNTEM for programme students

Autumn 19 SAP for Study Abroad Programme (SAP)

  • Periods

    Autumn 19 P1 (7.5 credits)

  • Application code


  • Start date


  • End date


  • Language of instruction


  • Campus


  • Tutoring time


  • Form of study


  • Number of places

    No limitation

  • Course responsible

    Jack Lidmar <>

  • Target group

    Only SAP-students. Students from UCAS only.

    Physics Background

  • Application

    Apply for this course at through this application link.
    Please note that you need to log in at to finalize your application.

Intended learning outcomes

After completion of the course you should be able to:

  • describe the formal structure of quantum mechanics.
  • apply Dirac's bra-ket notation, and manipulate Hermitian and unitary operators in quantum mechanical derivations.
  • describe in detail the time evolution of quantum systems, the propagator, and the Schrödinger and Heisenberg pictures.
  • know the path integral formulation of quantum mechanics.
  • calculate the expectation value of various physical quantities and how the measurement process works in quantum mechanics.
  • solve the Schrödinger equation for various problems, such as the harmonic oscillator using algebraic methods.
  • use statistical operators (density matrices).
  • know something about quantum mechanics interpretations and Bell's inequalities.
  • describe in detail the consequences of discrete and continuous symmetries and conservation laws.
  • calculate different aspects of the angular momentum and spin, for example, addition of angular momentum.
  • analyze systems consisting of identical fermions or bosons.
  • describe the Aharonov-Bohm effect.
  • apply the main approximation methods for stationary and time-dependent quantum mechanical problems.

Course main content

  • The basic ideas and concepts of quantum mechanics: Hilbert spaces, bra-ket formalism, operators, matrix representation, observables, the measurement process, uncertainty relations, the position and momentum representation, density matrices, Bell's inequalities.
  • Quantum dynamics: temporal evolution, Schrödinger and Heisenberg picture, the propagator, path integrals.
  • Harmonic oscillator, creation and annihilation operators.
  • Symmetries in quantum mechanics: translation, rotation, parity, spatial and temporal inversion.
  • The theory of angular momentum: ladder operators, spin, addition of angular momentum.
  • Permutation symmetry, identical particles.
  • Approximation methods for time-independent and time-dependent problems, the interaction picture.


Recommended prerequisites:
Mathematical Methods in Physics.
Quantum Physics.


- See current course homepage.

Recommended literature

- L.E. Ballentine, Quantum Mechanics: A Modern Development, World Scientific 2nd edition (2014).

- J.J. Sakurai, Modern Quantum Mechanics, 2nd edition, Addison-Wesley (Pearson) (2007)

- R.L. Liboff, Introductory Quantum Mechanics, Addison-Wesley (2003)

- R. Shankar, Principles of Quantum Mechanics, Kluwer (1994)


  • TEN1 - Examination, 7.5, grading scale: A, B, C, D, E, FX, F

Requirements for final grade

A written exam (TEN1; 7,5 university credits).

Offered by

SCI/Undergraduate Physics


Jack Lidmar (


Jack Lidmar <>


Course syllabus valid from: Autumn 2015.
Examination information valid from: Autumn 2007.