Course content

Introduction to quantum mechanics. The Schrödinger equation.
Quantum mechanical postulates. Particle in a box and potential
well. Harmonic oscillator. Scattering in one dimension, tunnel effect. Angular momentum. The hydrogen atom. Atoms and molecules. Molecular physics.

Learning outcome

The student is supposed to:
- know the main features of the historical development of quantum mechanics,
- master central concepts like operators, eigenfunctions, eigenvalues, and the Schrödinger equation, and know the role of these in quantum mechanics,
- learn how this theory can be formulated in terms of a set of basic postulates and a number of central theorems, where notions like expansion in terms of eigenstates, stationary and non-stationary states, and compatible and non-compatible observables play central roles,
- learn how to apply this formalism, first to simple one-dimensional systems like potential wells, the harmonic oscillator and scattering in one dimension, later to three-dimensional systems, in particular the
oscillator and the Hydrogen atom,
- learn how to apply quantum mechanics for atoms and molecules.

Learning methods and activities

Lectures and compulsory exercises.

Compulsory assignments

• Regneøvinger

Recommended previous knowledge

Fundamental knowledge of mechanics including waves, and electromagnetism. Mathematics 1, 2, 3, 4K, or similar.

Course materials

P. C. Hemmer: Kvantemekanikk, Tapir, 2000. (In Norwegian).
B.H. Bransden & C.J. Joachain: Quantum Mechanics, Prentice Hall, 2nd edition, 2000. Lecture notes.
D. J. Griffiths: Introduction to Quantum Mechanics, 2nd edition.

Credit reductions