Quantum Physics

Academic year
Subject Area
Language of Instruction
Mode of Delivery
ECTS Credits
1st Cycle Studies

Recommended Prerequisites


Teaching Methods

1- Theoretical classes with explanation of of concepts and application examples, using both black board and slides; 2- classes devoted to problem-solving; 3- practical classes with experimental work.

The evaluation during the semester has a laboratory component (4 values) and a test component (two tests, 8 points each). The test component can be replaced by final exam (16 points).

Learning Outcomes

Acquire basic concepts of quantum mechanics and ability to apply them to specific physical situations.
Acquire basic knowledge of Atomic Physics and Physics of Solids . Integration of knowledge acquired in these three areas in a quantum description of matter.
Ability to search and use literature, organizing a consistent set of information relating to the referred subjects.
Ability to solve problems, including the development of relevant mathematical skills.
Ability to implement and interpret simple experiments related to the subject content.

Competence in analysis and synthesis;
. Competence in oral and written communication;
. Competence in information management;
. Competence to solve problems;
. Competence in applying theoretical knowledge to practice;
. Competence in group work;
. Competence in critical thinking;
. Competence to understand the language of other experts.

Work Placement(s)



1. Quantification of light and energy. Bohr model of the atom. Wavelike properties of particles.
2. Schrodinger equation. Operators, eigenvalues, eigenfunctions. Physical interpretation. Wave function, probability density and average values. Applications to one-dimensional problems: the potential well and the harmonic oscillator.
3. The hydrogen atom: solving the equation Schrodinger, eigenvalues, quantum numbers, the eigenfunctions, probability densities, orbital angular momentum.
4. Angular momentum. Stern-Gerlach experiment, spin, addition of angular momentum.
5. Multieletronic Atoms. Central field approximation. Hartree theory. L-S coupling. Optical excitations. Transition rates and selection rules.
6. Introduction to solid physics: conductors and semiconductors. Band theory. Magnetic properties of solids. Superconductivity.

Assessment Methods

laboratory component: 20.0%
test component (two tests) or the test component can be replaced by final exam: 80.0%


Apontamentos de Física Quântica, Helena Vieira Alberto, 2013.
Modern Physics, Krane, editora John Wiley and Sons,Inc., 2nd Ed. 1996.
Apontamentos de Fundamentos de Física Moderna (cap. 2) Pedro Vieira Alberto, 1995.
Quantum Physics, R. Eisberg and R. Resnick, John Wiley Sons, 2nd Ed.1974.
Introduction to Quantum Mechanics, D.J. Griffiths, Prentice Hall, 1995.