Entry requirements

Linear algebra. Multivariable analysis. Transform Methods. Mechanics I+II. Electromagnetism I, Waves and optics. Mathematical Methods of Physics or equivalent courses.

Learning outcomes

The course treats concepts and working methods that are used within modern physics, in particular the physics of electrons in materials. On completion of the course the student shall be able to:

• describe and explain the correspondence principle and its interpretation.
• use with the language of basic quantum mechanics and formalism and describe quantum phenomenon within the electron physics of materials with this formalism.
• carry out elementary theoretical studies and calculations of atoms and molecules from quantum mechanical relations.
• carry out spectroscopic studies of different subjects and interpret the results in quantized units.
• report on future applications of quantum physics within technical development and society.

Content

The basic phenomena of the quantum physics and experimental background, particles and atomic models. Black-body radiation, line spectra, the photon, photoelectric effect, Compton-dispersion. Bohr's atomic model.

One-dimensional systems: The eigenvalue problem, stationary states, expectation values, operators. Particle in a box, the harmonic oscillator, transmission and reflection. Heisenberg's uncertainty relations.

Three-dimensional systems. Orbital angular momentum and central motion.

One-electron atoms: The Schrödinger equation, energy eigenvalues wave functions, energy level diagram. Optical spectroscopy on the hydrogen atom.

Basic perturbation theory, variational theory.

Many-electron atoms: Spinn. Addition of angular moments. Identical particles. The Pauli exclusion principle, The central field approximation. Zeeman effect, electron configurations, periodic system, spin-orbit coupling, terms, fine structure levels. Spectroscopies.

Fermions and bosons. Bose-Einstein-condensation.

Diatomic molecules: Binding, molecular potentials, electron configurations. Energy level diagrams. Vibrational and rotational motions and transitions.

Interpretations of quantum mechanics.

Laboratory work: Photoelectric effect. Optical spectroscopy. X-ray spectra (fluorescence, element analysis).

Instruction

Lectures, lesson exercises, experimental and computer-based laboratory sessions. Teaching may sometimes be given in English.

Assessment

Written examination at the end of the course (9 of 10 credits). To pass the course, a passed laboratory course is also required (1 of 10 credits). Laboratory reports and assignments or half-time examinations form together with the written examination the basis for the final grade. If a bonus system is used, the bonus is only valid at the final examination and at first regular re-examination.