. "Symmetry groups"@en . . "6" . "• Introduction: Introduction and definitions; Group theoretical notations\n• Representations: Reducible, irreducibele, equivalent representations; Orthogonality\n• relations for matrix elements and characters ; Reduction of representations and\n• character tables; Restricted and induced representations\n• Basis functions and supplements to representations: Transformation of functions and\n• operators; Basis functions and eigenfunctions; Restricted representations and\n• symmetry lowering; Projection operators; Direct product of groups and\n• representations; Selection rules\n• Twodimensional rotation and rotation reflection group: Introduction and\n• twodimensional rotation group; Twodimensional rotation-reflection group\n• Three dimensional rotation group and the group SU(2): Introduction - symmetry and\n• conservation laws; The group SU(2) and SO(3) - SU(2) homomorphism; Reduction of\n• direct product representations - addition of angular momenta; Wigner-Eckart theorem\n• Applications of group theory - capita selecta: Vibrational problems; Inversion\n• symmetry ; Translation symmetry of crystalline solids - space groups - band\n• structure; Time reversal symmetry - Kramers' theorem; Spin and double groups -\n• crystal field theory\nFinal competences: \n1 Being able to recognise symmetry present in physical systems.\r\n2 Being able to make use of the symmetry present in physical systems in a creative\r\nway.\n3 To master the mathematical methods of representation theory and to be able to\r\napply them in practical situations.\r\n4 To understand and to be able to predict the degeneracy of eigenvalues and the\r\nbehaviour under symmetry.\r\n5 To be able to identify the features and properties of physical systems related to\r\nsymmetry.\r\n6 To know and to be able to evaluate the possibilities and limitations of group theory.\r\n7 To have enough understanding with respect to group theoretical information in order\r\nto use and evaluate literature data in a correct way.\r\n8 To be able to apply group theoretical knowledge in other scientific domains as, e.g.,\r\nAtomic and Molecular Physics, Solid State Physics, Subatomic Physics, Chemistry,\r\nSpectroscopy, etc." . . "Presential"@en . "FALSE" . . "Algebra"@en . . . . . . . . . . . . . . . . . . . . . "Master of Science in Physics and Astronomy"@en . . "https://images.communicate.vub.ac.be/Web/VUB/%7Be03fbc44-87f1-488a-badd-e287777c0353%7D_WE_oplBrochure_MB_EN_Physics-Astronomy_8P.pdf?utm_medium=email&utm_source=eloqua&utm_content=MARCOM%20REKRUTERING%20brochure%20download%20ENG&%3Cutm_campaign= https://www.vub.be/en/studying-vub/all-study-programmes-vub/bachelors-and-masters-programmes-vub/master-in-physics-and-astronomy/program/master/master-physics-and-astronomy-minor-research\n" . "120"^^ . "Presential"@en . "The Master of Science in Physics and Astronomy: Minor Research is composed of 30 ECTS compulsory courses, 30 ECTS master thesis, 10-12 ECTS external mobility courses and 48-50 ECTS minor Research Electives. Our Master is jointly organized with UGent.\n\nPhysics aims at understanding the world around us by observing it from the smallest scales to the scale of the universe itself. From those observations, models are built to allow us to understand, explain and eventually predict the behavior of nature. The Master in Physics and Astronomy provides a comprehensive education in physics covering the particle physics, general relativity, astrophysics and the study of complex systems.\n\nThis master will give you quantitative and analytic skills that are useful to solve many problems arising in many areas beyond physics."@en . . . "2"@en . "TRUE" . . "Master"@en . "Thesis" . "1092.10" . "Euro"@en . "3620.00" . "Recommended" . "As a physicist you will be in high demand on the job market. With a master in Physics and Astronomy from VUB, you will have the knowledge and skills to land a job in one of many diverse sectors.\n\nThere is plenty of work in scientific research at universities and research institutes. In industry, in modelling, statistics and informatics. Alternatively, work on risk analysis and modelling in the banking, finance or pharmaceuticals sectors. You will also be valuable in the field of education. Infinite opportunities, in fact!"@en . "2"^^ . "TRUE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .