Optional modules will allow you to tailor your study into areas of physics that particularly interest you.
Soft Condensed Matter
This module aims to to give you a basic grounding in key concepts in soft condensed matter physics. It will focus on the dynamic, structural and kinematic properties of these materials as well as their self-assembly into technologically important structures for the production of nanostructured materials.
Key differences and similarities between soft matter, hard matter and liquid systems will be highlighted and discussed throughout the module. Material that will be covered includes:
- Introduction to soft matter
- Forces, energies and timescales in soft matter
- Liquids and glasses
- Phase transitions in soft matter (solid-liquid and liquid-liquid demixing)
- Polymeric materials
- Crystallisation in soft systems
- Liquid crystals
- Molecular order in soft systems
- Soft Nanotechnology
Understanding the dynamics of quantum systems is crucial, not just for describing the fundamental physics of atoms, but also for the development of exciting new quantum-based technologies. This module will equip you with the key theoretical concepts and methods needed to explore how quantum systems evolve with time.
- Connections between the dynamics of quantum systems and that of more familiar classical ones
- When (and how) to use approximations that allow complex problems to be made much simpler
- The extent to which the evolution of quantum states can be controlled
- How to put theory into practice using one of IBM’s prototype quantum computers.
Atoms, Photons and Fundamental Particles
This module will introduce students to the physics of atoms, nuclei and the fundamental constituents of matter and their interactions. The module will also develop the quantum mechanical description of these.
Topics to be covered are:
- Approximation techniques first order perturbation theory, degeneracies, second order perturbation theory, transition rates, time-dependent perturbation theory, Fermi's golden rule
- Particle Physics protons and neutrons, antiparticles, particle accelerators and scattering experiments, conservation laws, neutrinos, leptons, baryons and hadrons, the quark model and the strong interaction, weak interactions, standard model
- Introduction to atomic physics review of simple model of hydrogen atom, Fermi statistics and Pauli principle, aufbau principle, hydrogenic atoms, exchange, fine structure and hyperfine interactions, dipole interaction, selection rules and transition rates
- Lasers optical polarization and photons, optical cavities, population inversions, Bose statistics and stimulated emission, Einstein A and B coefficients
- Nuclear Physics Radioactivity, decay processes, alpha, beta and gamma emission, detectors, stability curves and binding energies, nuclear fission, fusion, liquid drop and shell models.
You will carry out a project drawn from one of several areas of physics. The project may be experimental or theoretical in nature. Many of the projects reflect the research interests of members of academic staff. You will work in pairs and are expected to produce a plan of work and to identify realistic goals for your project. Each pair has a project supervisor responsible for setting the project. You will also be required to maintain a diary/laboratory notebook throughout.
Occasionally the work from these projects is used in scientific publications, and the students involved are named as authors on those publications.
Depending upon the type of project that you decide to do, you will design and carry out your own experiments, theoretical calculations or computational work and use them to generate what are often new and interesting results. The project culminates in your writing a scientific report which is submitted for assessment along with your laboratory notebook.
Introduction to Solid State Physics
Solid state physics underpins almost every technological development around us, from solar cells and LEDs to silicon chips and mobile phones.
The aim of this module is to introduce to you the fundamental topics in solid state physics. We start by looking at why atoms and molecules come together to form a crystal structure. We then follow the electronic structure of these through to interesting electronic, thermal and magnetic properties that we can harness to make devices.
- Why atoms and molecules come together to form crystal structures
- The description of crystal structures, reciprocal lattices, diffraction and Brillouin zones
- Nearly-free electron model – Bloch's theorem, band gaps from electron Bragg scattering and effective masses
- Band theory, Fermi surfaces, qualitative picture of transport, metals, insulators and semiconductors
- Semiconductors – doping, inhomogeneous semiconductors, basic description of pn junction
- Phonons normal modes of ionic lattice, quantization, Debye theory of heat capacities, acoustic and optical phonons
- Optical properties of solids absorption and reflection of light by metals, Brewster angle, dielectric constants, plasma oscillations
- Magnetism – Landau diamagnetism, paramagnetism, exchange interactions, Ferromagnetism, antiferromagnetism, neutron scattering, dipolar interactions and domain formation, magnetic technology
This module introduces you to the physics and applications of Semiconductors. Semiconductors are key materials of the current Information Age. They enabled most of the devices and technologies we use everyday, such as computers, internet, mobile phones. Semiconductors help us to mitigate global warming, data theft, end of the Moore’s law and other global challenges.
This module includes detailed overview of the Semiconductors past, present and future, and provides skills and knowledge essential for a future Semiconductor researcher or engineer.
- Physics and applications of conventional semiconductor materials and devices, for example p-n diodes and field-effect transistors
- Physics and applications of novel semiconductor materials, quantum materials, nanostructures, low dimensional materials, such as graphene and quantum dots
- Current and future semiconductor challenges and technologies, such as efficient solar cells, ultrasensitive phone cameras and quantum computers.
Atmospheric and Planetary Physics
In this module you will explore the physics of planets and their atmospheres — a topic that is at the forefront of modern astrophysics and planetary science.
In the last few decades, the discovery of thousands of exoplanets beyond our Solar System has revolutionised the study of planets and their atmospheres.
Closer to home, understanding the physical processes at play in the Earth’s atmosphere remains vital for predicting weather and climate.
- Exoplanet detection methods and the physics of planet formation
- The structure, temperature and composition of planetary atmospheres
- Atmospheric dynamics
- Exoplanet atmospheres and the search for biosignatures
Nonlinear Dynamics and Chaos
How can complicated nonlinear mechanical, electrical and biological systems be understood? In this module you will develop your knowledge of classical mechanics of simple linear behaviour to include the behaviour of complex nonlinear dynamics. You’ll learn about the way in which nonlinear deterministic systems can exhibit essentially random behaviours, and approaches to understand and control them.
- In-depth knowledge of nonlinear dynamics in continuous and discrete classical systems
- Practical skills in using analytical, geometric and numerical approaches to analyse dynamics in nonlinear systems of various dimensions
- Methods to understand and create beautiful fractals through simple iteration rules.
Principles of Dynamics
This module will introduce you to the mathematical language behind the classical mechanics describing our universe. You will learn about Lagrangians and Hamiltonians, the starting place from which we can determine the dynamics of complicated systems, like pendula and planets orbiting the sun, as well as the origin of conserved quantities such as energy and momentum.
This is a fun module. At school you learnt Kepler’s Laws, Newton’s Law of Gravity, and F=ma, but how can you derive these amazing results? Where do they come from?
Here you will find out, as we introduce you to the mathematical language behind the classical mechanics describing our universe. You will learn about Lagrangians and Hamiltonians, the starting place from which we can determine the dynamics of complicated systems, like pendula and planets orbiting the sun, as well as the origin of conserved quantities such as energy and momentum. For two hours a week we will take you into the mathematics and ideas of giants like Newton, Euler, Lagrange, Noether and Hamilton.
Among many exciting things, you will study:
- Newton’s Laws and deriving the orbits predicted by Kepler
- Lagrangians and Hamiltonians, the building blocks behind classical mechanics
- The Euler-Lagrange equations describing the dynamics behind classical systems
- Rigid bodies – introducing moments of inertia, centre of mass and more so that we can apply these results to many particle rigid systems, like pendulums and even you
- Constraints – how to determine the dynamics of a system where it is constrained, for example, the motion of an explorer constrained to be on the surface of the earth
- The motion of charged particles, like electrons in an electromagnetic field
- Hamilton’s equations as an alternative way to determine the dynamics of a system, particularly useful when we are searching for conserved quantities like angular momentum
- Spinning tops – what? You heard right, the vital roles of gyroscopes in our life are understood by 5-year-olds, but the mathematics certainly is not. Thanks to this course, now you can understand that as well.
This module aims to provide you with the skills necessary to use computational methods in the solution of non-trivial problems in physics and astronomy. You’ll also sharpen your programming skills through a three hour computing class and one hour of lectures per week.
Introduction to Cosmology
Cosmology is the scientific study of the Universe as a whole. It aims to understand what the Universe is made of, and its evolution from the Big Bang until today (and into the future).
- observational evidence for the Big Bang
- how the expansion of the Universe depends on its contents and geometry
- how the contents of the Universe evolve as it expands and cools
- dark matter and dark energy: observational evidence and the latest theoretical models
- inflation, a proposed period of accelerated expansion in the very early Universe
The Structure of Stars
In this module you will learn how the same physics that works on Earth – gravity, electromagnetism, thermodynamics, optics, quantum physics, atomic and nuclear physics – is used to understand stars. You will explore the most important physical processes occurring in stars of different types. You will then use this knowledge to build mathematical models of stars and to understand their internal structure, their formation, evolution, and death.
- How astronomers measure the most important properties of stars such as their mass, size, distance, brightness, temperature, chemical composition and age. This module will then teach you how physics is able to explain these properties.
- How energy is generated inside stars through nuclear fusion, and how it is transported to the surface to make stars shine.
- How to write the equations that describe the structure of stars, and how to use them to build mathematical models that explain their properties and evolution.
- How stars are born, how they evolve with time, how long they live, how they die, and what remnants they leave behind. You will be able to understand, for instance, how supernovae explode and how some black holes form.
Functional Medical Imaging
The techniques for magnetic resonance imaging (MRI) and spectroscopy (MRS) are explored. The course aims to introduce the brain imaging technique of functional magnetic resonance imaging (fMRI), giving an overview of the physics involved in this technique. The electromagnetic techniques of electroencephalography (EEG) and magnetoencephalography (MEG) will then be outlined, and the relative advantages of the techniques described.
The Structure of Galaxies
This module will develop your current understanding of the various large-scale physical processes that dictate the formation, evolution and structure of galaxies, from when the Universe was in its infancy to the present day.
You’ll explore a range of topics, starting with the fundamentals of observational techniques used by astronomers for understanding the structure of our own galaxy, the Milky Way. We will then look at the more sophisticated ways of unpicking the physics that drives the complexity we see throughout the population of galaxies in the Universe.
Specifically, in this module, you will study:
- The structure of the Milky Way – how we determine the structure of the Milky Way, its rotation curve and what this implies for its dark matter content
- Properties of galaxies in the Universe – how astronomers classify galaxies, the properties of the different classes and how their constituents vary between classes
- Dynamics of galaxies – kinematics of the gas and stars in galaxies, why spiral arms form, the theory of epicycles, bar formation, different types of orbits of matter within galaxies
- Active galaxies – radio galaxies, quasars and active galactic nuclei, super-massive black holes
- The environment of galaxies – how the environment that a galaxy resides in affects its evolution and structure
- Galaxy evolution – observations of galaxy evolution from the early Universe to the present day, models of galaxy evolution.
Symmetry and Action Principles in Physics
Symmetry plays a central role in physics. Most of the fundamental Laws of modern physics have been formulated using symmetry principles. Symmetry is also expected to guide for further understanding and development of theories of physical phenomena.
Through a combination of lectures, engagement sessions and workshops, this module equips you with:
- the key concepts of symmetry
- the correspondence between symmetries and conservation laws
- the derivations of physics laws from the action principles
- and the consequences of symmetry breaking.
- Symmetries of space and phase space using classical mechanics
- Symmetries of spacetime and in electromagnetism using special relativity
- Main symmetry groups of modern physics laws
- How structures in nature are results of symmetry breaking.
This module explores the physical processes involved in the most extreme environments known in the Universe. Among the objects studied are neutron stars, black holes, supernova explosions, and active galactic nuclei.
Theoretical Elementary Particle Physics
Particle physics has been hugely influential in both science and society, from the discovery of the electron to the detection of the Higgs boson. In this module you will be introduced to the mathematical tools required to understand our current description of the Standard Model of particle physics.
- The Dirac equation, which describes electrons, quarks and neutrinos
- How symmetry and conservation laws are crucial in particle physics
- The Feynman approach to computing the scattering of particles
This module introduces a range of theoretical techniques for the construction and analysis of simplified effective models. You will learn advanced mathematical methods and apply them to problems in quantum mechanics, electromagnetism, and other areas of physics.
- Differential calculus of complex functions
- Advanced solution methods for differential equations such as the Schrödinger equation
- Vector spaces of functions and Green functions