Module PHYS4191: THEORETICAL PHYSICS 4

Department: Physics

PHYS4191: THEORETICAL PHYSICS 4

Prerequisites

• Mathematical Methods in Physics (PHYS2521) AND Foundations of Physics 2 (PHYS2511) AND Foundations of Physics 3 (PHYS3522).

Corequisites

• None.

Excluded Combination of Modules

• Theoretical Physics (PHYS3551).

Aims

• This module is designed primarily for students studying Department of Physics and Natural Sciences degree programmes.
• It builds on the Level 2 modules Foundations of Physics 2 (PHYS2511) and Mathematical Methods in Physics (PHYS2521) and the Level 3 module Foundations of Physics 3 (PHYS3522) and provides a working knowledge of special relativity, quantum physics and electromagnetism appropriate to Level 4 physics students not specialising in theoretical physics.
• It will develop transferable skills in researching a topic at an advanced level and making a written presentation on the findings.

Content

• The syllabus contains:
• Quantum Mechanics: state vectors, operators, eigenvalues and expectation values, commutation relations and uncertainty principle, postulates. Operator methods: simple harmonic oscillator, angular momentum and spin. Rotations. Scattering theory.
• Special Relativity: Light cone, space-like and time-like intervals, Lorentz transformation, time dilation, twin paradox, Doppler effect. Summation conventions, Levi-Civita and Kronecker tensors. Covariant and contravariant vectors. 4-momenta. Minkowski metric.
• Electromagnetism: covariant electrodynamics, 4-potentials and gauge invariance, Maxwell's equations in tensor form, relativistic fields and retarded potential.

Learning Outcomes

• Having studied this module students will have a systematic understanding of non-relativistic quantum theory, including operator and matrix methods and scattering theory.
• They will have a working knowledge of special relativity and the rudiments of tensor calculus, and be able to apply their understanding to classical and relativistic electromagnetism.

• In addition to the acquisition of subject knowledge, students will be able to apply the principles of physics to the solution of complex problems.
• They will know how to produce a well-structured solution, with clearly-explained reasoning and appropriate presentation.

• Students will have developed skills in researching a topic at an advanced level and making a written presentation.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

• Teaching will be by lectures and examples classes.
• The lectures provide the means to give a concise, focused presentation of the subject matter of the module. The lecture material will be explicitly linked to the contents of recommended textbooks for the module, thus making clear where students can begin private study. When appropriate, the lectures will also be supported by the distribution of written material, or by information and relevant links on DUO.
• Regular problem exercises and example classes will give students the chance to develop their theoretical understanding and problem solving skills.
• Students will be able to obtain further help in their studies by approaching their lecturers, either after lectures or at other mutually convenient times.
• Lecturers will provide a list of advanced topics related to the module content. Students will be required to research one of these topics in depth and write an extended essay on it. Some guidance on the research and feedback on the essay will be provided by the lecturer.
• Student performance will be summatively assessed though an examination, problem exercises and the extended essay. The examination and problem exercises will provide the means for students to demonstrate the acquisition of subject knowledge and the development of their problem-solving skills. The extended essay will provide the means for students to demonstrate skills in researching a topic at an advanced level and making a written presentation.
• The problem exercises and example classes provide opportunities for feedback, for students to gauge their progress and for staff to monitor progress throughout the duration of the module.

Teaching Methods and Learning Hours

Summative Assessment

Formative Assessment:

Example classes and problems solved therein.

■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University