Single-Course Danish 10 ECTS

Quantum Mechanics

Overall Course Objectives

To establish basic theoretical concepts within quantum mechanics and by this create a systematic starting point for a scientifically based development of advanced materials for technological applications.

Learning Objectives

  • Identify physical systems that require a quantum mechanical description.
  • Solve Schrödinger’s equation for simple one-dimensional systems and interpret the results.
  • Quote the eigenvalues for the most important quantum mechanical operators.
  • Outline and explain the basic postulates of quantum mechanics.
  • Explain and apply Dirac notation.
  • Recall the most important commutator relations.
  • Formulate the connection between symmetry and conservation laws.
  • Apply creation and anihilation operator techniques.
  • Calculate eigenvalues and eigenfunctions for perturbed systems.
  • Analyse simple molecular systems by means of the quantum mechanical variational principle.
  • Recognize and apply professional terminology in English.

Course Content

Particles as waves, Schrödinger’s equation. Expectations values, operators, eigenvalues, and stationary states. Dirac formalism. Commutators, unitary transformations, and matrix representation. Symmetry and conservation laws. Free particles, the potential well, and the harmonic oscillator. Angular momenta, central potentials, and the hydrogen atom. Perturbation theory and the variational method. Identical spin ½-particles.

Recommended prerequisites

10036/31400/01035/01325/34031, or equivalent courses, especially within electromagnetism and
mathematics: series and expansions

Teaching Method

Lectures, problem solving, online material. One week mini-project.

See course in the course database.





13 weeks




DTU Lyngby Campus

Course code 10102
Course type Bachelor
Semester start Week 5
Semester end Week 19
Days Tues 13-17, Fri 8-12

15.000,00 DKK