2005/06 Undergraduate Module Catalogue
PHYS3130 Theoretical Physics
10 creditsClass Size: 40
Module manager: Professor I D Lawrie
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2005/06
Pre-requisitesPHYS1030 or PHYS1031, PHYS1100, PHYS2160, PHYS2170 or equivalents.
This module is not approved as an Elective
ObjectivesAt the end of the module, students should be able to:
- explain the physical and mathematical principles of Lagrangian and Hamiltonian dynamics, non-relativistic and relativistic quantum mechanics, and simple aspects of quantum field theory;
- discuss the role of symmetries in physics, and derive the associated conservation laws;
- explain the construction of theories of fundamental forces based on the concept of gauge invariance;
- solve straightforward problems involving the Lagrangian and Hamiltonian dynamics of particles, Dirac matrices and creation and annihilation operators.
Ability to solve physical problems using mathematics.
Ability to grasp a complex body of ideas.Ability to solve physical problems using mathematics.
Ability to grasp a complex body of ideas.
Principle of least action and Newton's laws of motion. Symmetries and conservation laws (Noether's theorem). Lagrangian and Hamiltonian formulations; Poisson brackets. Relativistic mechanics. Classical electromagnetism.
Hilbert space of state vectors. Operators and observable quantities. Quantization of a classical system. The harmonic oscillator; raising and lowering operators.
RELATIVISTIC QUANTUM MECHANICS
Relativistic generalizations of Schrödinger's equation: the Klein - Gordon and Dirac equations. Spin and helicity.
QUANTUM FIELD THEORY
Elementary aspects of second quantization. Perturbation theory and Feynman diagrams. The principle of gauge invariance.
UNIFIED GAUGE THEORIES OF ELEMENTARY PARTICLES
Descriptive treatment of the standard model of elementary particles and forces.
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for informationLectures: 22 x 1 hour.
Private studyExamples: 16 hours;
Exam preparation: 20 hours;
Reading & assimilation: 42 hours.
Opportunities for Formative Feedback4 x homework assignments (not assessed).
Methods of assessment
Reading listThe reading list is available from the Library website
Last updated: 19/04/2005
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