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Semester 2

Symmetries of Quantum Mechanics (PHYS10083)

Subject

Physics and Astronomy

College

SCE

Credits

10

Normal Year Taken

4

Delivery Session Year

2023/2024

Pre-requisites

Course Summary

Building on the material presented in the Quantum Mechanics course, this course aims to introduce the basic mathematical tools of Quantum Mechanics with a special emphasis on the connection between physical phenomena and mathematical modelling. The Hilbert space of physical states is reviewed as a particular case of a linear vector space. General properties of representation theory are discussed for the case of finite groups and are applied to quantum mechanical systems. Representations of the continuous groups U(1), SO(3), and SU(2) are presented and discussed in relation with invariance under translations and rotations. The general theory of angular momentum is introduced and applied to cases of physical interest. Quantum mechanical results are compared to their classical counterparts for a number of physical systems.

Course Description

Assessment Information

Written Exam 100%, Coursework 0%, Practical Exam 0%

Additional Assessment Information

Written Exam 100%

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