MPhys Physics with Advanced Research

This module is an introduction to working in a laboratory environment. You'll learn how to design and undertake simple experiments related to the taught components of the first-year physics curriculum. By the end of the course you will be able to write a formal report, perform simple uncertainty analysis, make dimensional analysis of physical systems, and perform simple data analysis with Python

This module will provide you with an understanding of motion of simple mechanical systems, gravitation and simple harmonic motion. You'll also learn about the fundamentals of wave propagation and the superposition of waves as well simple optical phenomena such as diffraction.

This module is designed to introduce you to quantum mechanics and electromagnetism. It highlights experimental observations that resulted in the development of quantum mechanics, such as the photoelectric effect and blackbody radiation. In terms of electromagnetism, you'll cover basic electrostatics and magnetostatics and develop an understanding of Maxwell’s equations and the Lorentz force law.

We will introduce you to the mathematics necessary to support the physics curriculum. The modules will cover topics ranging from differentiation and integration, complex numbers, an introduction to linear algebra and vectors. You will learn how to apply your mathematical knowledge to related problems in physics.

This module will introduce you to the Python programming language and you will start to use Python to write simple programmes to model physical systems. You will also develop your study and communication skills, and interact with the careers service to develop your employability skills. This module will involve a group project.

This module is an extension of Experimental Physics from year 1. You'll undertake more complex experiments that are related to the taught components of the second-year curriculum. You'll see the statistical origin for experimental uncertainties.

This module builds on Mechanics and Waves from year 1. You'll be introduced to special relativity, the vector treatment of rotational motion and the behaviour of systems when forced to oscillate. To extend your understanding of wave phenomena you'll be introduced to the wave equation, Fresnel and Fraunhofer diffraction, interference, geometrical optics, and the operation of lasers.

This module builds on the material you learned in year 1. You'll be introduced to the probabilistic nature of quantum mechanics, including wave particle duality and Heisenberg uncertainty principle. You'll learn about AC theory, covering inductors, capacitors and transmission lines. You’ll extend your knowledge of Maxwell’s equations to develop a vector model of electromagnetism and the theory of the plane electromagnetic wave in vacuum.

The topics covered in these modules will extend the mathematics seen in first year. You will cover many different topics including probability distributions, ordinary and partial differential equations, Fourier series and transforms, linear algebra, and complex variables. You will learn how to solve problems relating to the topics covered in your physics modules and build appropriate physical models.

In this module you will build on the Python programming seen in year 1 and be introduced to a range of computational techniques that will make modelling and solving physical system straightforward. Again there will be a group project which will be used to enhance your skills and there will be further interactions with the Careers Service to enhance your employability skills.

Building on what you learned in year 2, this module will extend your understanding of quantum mechanics. We'll introduce operators, expectation values and commutation relationships, and advanced concepts like time independent perturbation theory. In electromagnetism you will exploring the wave like nature of electromagnetism as predicted by Maxwell's equations, Poynting’s theorem, reflection and transmission at a dielectric interface, potentials and gauge transformations, and retarded potentials.

Here you'll cover binding forces in solids, bulk material properties, phonons and other forms of collective excitations, crystal structure, elementary concepts of band structure, semi-conductors, magnetic materials and the origins of magnetism, and superconductors.

This module covers the physics of gases and liquids and the fundamentals of thermodynamics. This includes the ideal gas law, hydrostatics, isothermal and adiabatic processes, and the laws of thermodynamics. We also present the basic principles of statistical mechanics, and various distributions such as Maxwellian, Fermi-Dirac and Bose-Einstein.

This module focuses on introducing new techniques in mathematical physics. You will develop your problem-solving skills through a series of challenging tutorial problems addressing advanced problems both from the topics addressed in this module and from the other core third year modules including quantum mechanics, statistical mechanics and thermal physics, solid state physics and electrodynamics. You will gain an appreciation for how advanced mathematical techniques can be used to aid in solving challenging physics problems and become proficient in applying the techniques you will learn to solve more advanced and previously unseen problems.

This module extends the laboratory work developed in years 1 and 2 and involves experiments covering a range of topics relevant to the 3rd year Physics UG taught syllabus. The laboratory work is open ended so you're able to fully explore the experiments in preparation for the final year project. You will develop advanced measurement, data recording and analysis skills and learn how to report experimental outcomes in the form of a journal paper. This module covers 4 experiments.

This module extends the laboratory work developed in years 1 and 2 and involves experiments covering a range of topics relevant to the 3rd year Physics UG taught syllabus. The laboratory work is open-ended so you're able to fully explore the experiments in preparation for the final year project. You will develop advanced measurement, data recording and analysis skills and learn how to report experimental outcomes in the form of a journal paper. This module covers 2 experiments.

This module will develop your knowledge base and transferable skills in preparation for the project undertaken in years 4 and 5 of the course. It focuses on effective and concise communication of complex information through oral, written and graphical presentations, literature and group-work skills.

During this module, you’ll be introduced to the best practises in software development, and the numerical methods that are most commonly used to solve physical problems including linear algebra, partial, ordinary and stochastic differential equations, and Fourier methods.  To undertake this module, a prior understanding of Python is required.

The aim of this module is to help you develop as an enquiring, independent physicist, by undertaking a research project. You'll be under the supervision of a member of staff from the department.

This module is intended as an introduction to the organisation, management, funding, performance and delivery of research. You'll be introduced to the processes associated with applying for research funds and assessing proposals for research funding along with elements of the ethics of research. You will gain initial experience of writing and assessing research papers, proposals and presenting a case for support, awareness of the importance of generating impact and commercialising research, and familiarity with professional activities and conduct when managing research.

Here you'll be introduced to state-of-the-art developments in generation and use of charged particles in various forms such as free electron beams, plasmas and astrophysical plasmas. This will include basic plasma physics theory (particle orbit theory, fluid equations, ideal and magnetohydrodynamics, wave equations and kinetic theory), electron optics and electron microscopes, free electron devices and radiation sources. You will also look at the history and geography of our galactic environment, red giants, white dwarfs, supernovae, neutron stars, black holes and physics of the Big Bang.

Here you'll track the development of key concepts in solid state physics and how these concepts can be exploited to form functional optical and electronic devices. You will look at the chemistry and physics of crystalline and amorphous materials, with a focus on semiconductor materials, optical activity in solid-state materials, the interaction of semiconductors with light, transistors (bipolar and unipolar), quantum wells and microstructured materials.

This module will provide an overview of modern nanoscience. It will discuss basic physics related to low dimensional nanostructures and nanoclusters, nanofabrication including top-down and bottom up approaches, characteristics techniques including electron spectroscopy and microscopy, scanning probe microscopy, and optical spectroscopy and microscopy. Noble metal nanoparticles, quantum dots, carbon nanomaterials will be introduced. In particular it will cover the physical and chemical properties of nanoparticles, their production, applications in physics, chemistry and medicine along with issues relating to nanotoxicity and the ethics of medical nanoscience.

During this module you'll gain an insight into laser physics, laser optics and nonlinear optics as used in many photonic laboratories. This will include properties of laser radiation, beam propagation and ray transfer matrices, nonlinear polarization, and second and third order nonlinear effects such as second harmonic generation and the optical Kerr effect.

During this module you will learn about simple systems that exhibit non-linear and complex behaviour. You will find how to analyse non-linear systems and find stationary points, learn to analyse bifurcation diagrams and identify key features on these diagrams, look at periodic solutions to non-linear systems and recognise oscillations, and key features of these oscillations, and understand the origin of deterministic chaos and explain key features relating to chaos. 

In this module we’ll demonstrate the large-scale structure of space-time. You will develop the necessary mathematical concepts (4-vectors, the metric tensor, covariant derivatives, connection coefficients and the Riemann curvature tensor) and use them to derive Einstein's gravitational field equation and look at idealized cosmological solutions for the large-scale structure of the universe, including the standard model. You will study gravitational collapse and the properties of black holes.

This module will provide a broad foundation in concepts and techniques from quantum mechanics, and provide experience in the practical application of these techniques to describing state-of-the-art experiments and quantum technologies. 

This module aims to give a general overview and understanding of atomic and molecular physics and relate these to practical applications and related fields of study. You will learn about optical selection rules, atomic structure, and atom-light interactions, and applications such as Atomic Clocks; Laser Cooling; Ion Traps; Magnetic Trapping; Optical Trapping; Quantum Degenerate Gases; Atom Interferometry; Laser frequency calibration and combs. In molecular physics you will learn about: Diatomic molecules; Rotational Modes; Vibrational Modes; Symmetries and Selection Rules.

This module provides an up-to-date introduction to High Performance Computing (HPC) and the use of modern parallel computers to tackle the most demanding problems in science in general and Physics in particular. It provides an overview of the basic building blocks of High-Performance Computers and how they can be utilised effectively. The practical use of HPC will be demonstrated using application examples drawn from several areas of relevance to 4th year modules offered by the Department. 

The MPhys project follows on from the BSc project undertaken in Year 4 and will help you further develop as an independent learner. The topic may be experimental, theoretical, or computation physics or a mixture of all three. The work is normally carried out in the research laboratories under the individual supervision of an experienced researcher. You will present your results in the form of a typical high-impact research paper. 

In this module you will learn about the interaction of intense electromagnetic radiation with plasma and solid matter, of concepts for its description, and of important applications. This will include laser-plasma wakefield accelerators: underdense plasma; ponderomotive force; relativistic effects; laser self-guiding; laser depletion; plasma bubble formation; electron injection and acceleration; electron dephasing. You will also look at radiation sources based on laser-plasma accelerators and high power laser pulse interactions with dense targets.

The aim of this module is to introduce advanced concepts associated with the physics of nano-scale structures. This will be underpinned by exposure to relevant key concepts in modern condensed matter physics and optics. You will look at single particles and collective behaviour in solids, carbon nano-structures and their relatives, phases and states of matter, and topologically non-trivial matter.

The aim of this module is to introduce the advanced imaging and microscopy techniques associated with modern nanoscience. This will be underpinned by the physics required for a thorough understanding of these methods, including the molecular physics of absorption and fluorescence and the optical physics relating to microscopy and imaging in the visible and X-ray regions of the electromagnetic spectrum.

This module provides a broad overview of the diverse range of quantum technologies. Students will acquire a firm foundation of the quantum principles upon which quantum technologies are built and which lead to their advantage over conventional "classical" technologies, as well as their practical deployment in various experimental systems and platforms. Students should become aware of the broad scope of quantum technologies, a realistic appreciation of their capabilities, the challenges to the implementation, and the applications to which they can be applied.  

This module introduces you to the primary methods for transmitting and manipulating electromagnetic waves, looking at both theoretical and practical consideration for a range of applications. You will also cover the collective behaviour of plasmas with applications to space physics, magnetic confinement fusion and laboratory experiments. You will learn about the impact of plasma on the propagation of EM waves, the effects introduced by a static magnetic field and the new wave modes that have no equivalent in vacuum. The course will also address wave-particle interactions leading to acceleration and other kinetic effects in plasma.

This module introduces methods and applications in advanced modern quantum optics, building on concepts from earlier years. Material covered includes the quantum harmonic oscillator, light-matter interaction, density matrix, Lindblad form, two-level atoms, three level atoms, coherent population trapping, electromagnetically induced transparency, Nonlinear Schrödinger equation, Maxwell-Bloch equations, bistability, solitons, Optical Parametric Oscillators and intracavity Second Harmonic generation, theory of coherence, super radiance, and an alternative derivation of the density matrix form from many-body theory.

This module provides an up-to-date introduction to the use of modern parallel computers to simulate and understand complex physical systems. It focuses on methods and applications that scale from modest desk-top computers to (in principle) world leading supercomputers. Application examples are drawn from several areas of relevance to 4th and 5th year Physics modules in quantum physics, condensed matter and plasma physics.

This module will build on the new Level 4 Computational module ("Applied High Performance Computing") but gives students the tools to develop and use new physical models on these modern architectures.