The course aims to provide an introduction to the fundamental aspects of twentieth-century physics: special relativity, quantum mechanics, elementary particle physics, general relativity and cosmology.
Syllabus
Special relativity: from the invariance of the speed of light under change of reference frame to the Lorentz transformations; Minkowski spacetime, four-vectors and the transformation rules of the electromagnetic field. Quantum mechanics: the crisis of classical mechanics, wave-particle duality, the Schroedinger equation; probabilistic interpretation and its consequences; simple applications of the Schroedinger equation. Elementary particle physics: the Standard Model of elementary particle physics and its simple applications. General relativity and cosmology: the Hilbert-Einstein equation and its solutions in homogeneous isotropic spacetime; implications of elementary particle physics and general relativity for cosmology.
Expected learning
outcomes
At the end of the course students must demonstrate:
that they know and understand the phenomenological and experimental foundations of the theory of relativity and of quantum mechanics; they must be able to reproduce the main results studied quantitatively;
that they are able to apply this knowledge to the general formulation of a problem in relativistic/quantum physics;
that they are able to communicate ideas and solutions clearly, rigorously and effectively to both specialist and non-specialist audiences;
that they are able to identify the most appropriate methods to analyse and solve a problem related to the course topics and to interpret the results correctly.
Learning outcomes
to be assessed
Assessment will cover the knowledge and skills acquired on the course topics, taking into account both procedural skills (ability to set up and solve problems) and argumentative skills (ability to represent phenomena in terms of the theory).
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