Physics and Astrophysics MPhys

Core modules:

Fundamentals of Physics

This module introduces the fundamentals of University Physics that are built on in later years of study.  This includes the development of data analysis skills, laboratory skills, scientific report writing and communication along with the ability to analyse physics problems and solve them using pen and paper, experiment and computer programming. Key concepts in electromagnetism, classical mechanics, thermal physics, waves and oscillations and quantum mechanics will be studied and used to develop problem solving.

50 credits

Introduction to Astrophysics

One of four half-modules forming the Level-1 Astronomy course, PHY104 aims to equip students with a basic understanding of the important physical concepts and techniques involved in astronomy with an emphasis on how fundamental results can be derived from fairly simple observations. The module consists of three sections:

(i) Basic Concepts, Fluxes, Temperatures and Magnitudes;

(ii) Astronomical Spectroscopy;

(iii) Gravitational Astrophysics.

Parts (i), (ii) and (iii) each comprise some six lectures. The lectures are supported by problems classes, in which you will learn to apply lecture material to the solution of numerical problems.

10 credits

The Solar System

One of the four half-modules forming the Level 1 astronomy course, but may also be taken as a stand-alone module. PHY106 covers the elements of the Solar System: the Sun, planets, moons and minor bodies. What are their structures and compositions, and what dothey tell us about the formation and history of the Solar System?

10 credits

Our Evolving Universe

The course provides a general overview of astronomy suitable for those with no previous experience of the subject. The principal topics covered are (1) how we deduce useful physical parameters from observed quantities, (2) the structure and evolution of stars, (3) the structure of the Milky Way, and the classification, structure and evolution of galaxies in general, (4) an introduction to cosmology and (5) extrasolar plantets and an introduction to astrobiology. All topics are treated in a descriptive manner with minimal mathematics.

10 credits

Observing the Night Sky

This module aims to equip the student with a grounding in the observational and computational data analysis skills they will need as part of an astronomy degree programme, and is an essential pre-requisite of the more advanced handling of astrophysical data that will be expected as part of Levels 2, 3 and 4. The module consists of a mixture of taught material, workshops, and practical activities in positional astronomy, telescope optics, practical observing skills, basic python programming, and astrophysical data analysis.

10 credits

Introductory Mathematics for Physicists and Astronomers

This module provides the necessary introductory  level 1 mathematics for students taking physics and / or astronomy degrees except those taking theoretical physics degrees.

Topics will be covered in two equally weighted streams: Stream A: common functions of one variable, differentiation, series expansions,  integration and ordinary differential equations. Stream B:  basic complex numbers, vector manipulation, properties and applications of matrices.

20 credits

Further Mathematics for Physicists and Astronomers

This module provides the necessary additional mathematics for all students taking physics and/or astronomy degrees including those taking theoretical physics degrees. The following topics will be covered: introduce the students to vector calculus; elementary probability theory; ensure that the students have a thorough knowledge of how to apply mathematical tools to physical problems.

10 credits

Core modules:

Special Relativity & Subatomic Physics

Special relativity is a key foundation of modern physics, particularly in the contexts of particle physics and astrophysics where E = mc2 and relativistic speeds are crucial concepts. In this module, the fundamental principles of special relativity will be explained, emphasising the energy-momentum four-vector and its applications to particle collisions and decays. Applications to nuclear physics include nuclear mass and binding energy, radioactive decay, nuclear reactions, nuclear fission and fusion. We will also cover the structure of the nucleus (liquid drop model and an introduction to the shell model).

10 credits

Classical and Quantum Physics

This module provides the core level 2 physics content for non-theoretical degrees. It integrates physics content with supporting mathematics and practical work. Transferable skills are covered via different presentation modes for lab work. A further item is employability. The module also contains one or more items of group work. Physics topics covered are classical physics and oscillations, thermal physics, quantum mechanics, properties of matter and electromagnetism. Mathematics topics are Fourier techniques and partial differential equations. Both mathematical topics are applied to a range of the physics covered and are integrated with aspects of the practical work.

To pass the module the following must all be satisfied:

1. Pass the Portfolio

2. Obtain an average mark over the 4 exams of 40% or greater

3. Submit all lab assignments and obtain an average mark of 40 or greater

70 credits

Stellar Structure and Evolution

The module aims to provide an understanding of the physical processes occurring in stars and responsible for their internal structure and evolution from the main sequence to white dwarfs, neutron stars stars and black holes. It builds on Introduction to Astrophysics (PHY104) and seeks to explain the evolutionary phenomena described in Our Evolving Universe (PHY111).

10 credits

Galaxies

This Level 2 Astronomy half-module aims to provide a comprehensive introduction to galaxies. It consists of six parts: (i) astronomical distance determination and galaxy classification; (ii) the properties of the main stellar and a gas components of our Milky Way galaxy, and its local environment; (iii) the properties of spiral galaxies; (iv) the properties of elliptical galaxies; (v) active galaxies; (vi) galaxy evolution. Students' presentation and research skills are developed through a 2500 word essay assignment.

10 credits

Observational Astronomy

This level 2 module builds upon astronomy material taught in level 1 and aims to equip students with the skills and understanding to plan, obtain and analyse optical imaging data of astronomical objects. Topics include astronomical telescopes, instrumentation, electronic detectors and data analysis in the Python computing language.

10 credits

Astronomical Spectroscopy

This level 2 module provides an overview of astronomical spectroscopy for astrophysics dual students, covering how spectrographs work, the nature of spectra, atomic physics relevant to astronomical spectroscopy, line broadening mechanisms (natural, pressure, thermal) and the Curve of Growth for the determination of ionic abundances in stellar atmospheres, plus spectral diagnostics of ionized nebulae. Content from lectures are reinforced through an exercise involving specialist astronomical software relating to nebular diagnostics, plus the manipulation of stellar spectroscopic datasets using the programming language Python for the calculation of ionic abundances.

10 credits

Core modules:

Particle Physics

This Level 3 Physics half module introduces students to the exciting field of modern particle physics. It provides the mathematical tools of relativistic kinematics, enabling them to study interactions and decays and evaluate scattering form factors. Particles are classified as fermions - the constituents of matter (quarks and leptons) - or as bosons, the propagators of field. The four fundamental interactions are outlined. Three are studied in detail: Feynman diagrams are introduced to describe higher order quantum electrodynamics; weak interactions are discussed from beta decay to high energy electroweak unification; strong interactions, binding quarks into hadrons, are presented with the experimental evidence for colour. The role symmetry plays in the allowed particles and their interactions is emphasised.

10 credits

Stellar Atmospheres

This module describes how astronomers obtain information about the properties of stars from their atmospheres. On completion, you should be able to appreciate differences between the main spectral types, understand how the interaction of radiation with matter affects the appearance of a stellar atmosphere, including the major sources of opacity. You will have a knowledge of the formation of spectral lines, line broadening mechanisms, plus an appreciation of the use of stellar continua and lines as atmospheric diagnostics. The outer solar atmosphere will also be discussed, together with outflows from late and early type stars.

10 credits

Introduction to Cosmology

Cosmology is the science of the whole Universe: its past history, present structure and future evolution. In this module we discuss how our understanding of cosmology has developed over time, and study the observed properties of the universe, particularly the rate of expansion, the chemical composition, and the nature of the cosmic microwave background, can be used to constrain theoretical models and obtain value for the parameters of the now-standard Hot Big Bang cosmological model.

10 credits

La Palma Field Trip

This Level 3 Astronomy half module provides an opportunity for students to develop and exercise their skills and ability to undertake independent, albeit closely supervised, research. Students are able to select from a wide variety of proposals for projects, many involving practical observation and field work; others are essentially theoretical or interpretative or require the development of computer programmes designed to simulate a variety of astronomical phenomena. Many projects are collaborative and encourage students to work with others in a team, especailly those projects involving a field trip (currently to Teide Observatory in Tenerife). Assessment is based on individual written reports and oral examination. These provide exercise in presentational skills.

10 credits

Atomic and Laser Physics

This module covers the physics of atoms and lasers at an intermediate level. The course begins with the solution of the Schrodinger equation for the hydrogen atom and the atomic wave functions that emerge from it. It then covers atomic selection rules, spectral fine structure and the effects of external fields. The spectra of selected multi-electron atoms are described. The basic operation of the laser is then covered by introducing the concepts of stimulated emission and population inversion. The course concludes with a description of common lasers and their applications.

10 credits

Statistical Physics

Statistical Physics is the derivation of the thermal properties of matter using the under-lying microscopic Hamiltonians. The aims of this course are to introduce the techniques of Statistical Mechanics, and to use them to describe a wide variety of phenomena from physics, chemistry and astronomy.

10 credits

Solid State Physics

Covering the electronic properties of solids, this module details the classification of solids into conductors, semiconductors and insulators, the free electron model, the origin of electronic band structure, the fundamental electronic properties of conductors and semiconductors, carrier statistics, experimental techniques used to study carriers in a solid, and the classification and physics of the principal types of magnetism.

10 credits

Problem Solving and Professional Skills in Physics and Astronomy

This module is a 'big picture' look at physics problem solving.  The module develops techniques for solving unfamiliar problems in physics and astronomy using mathematical and statistical methods.

This module is split into two halves: Statistics and data analysis (S1), and Physics and Astronomy Problem Solving (S2).  

Statistics covers the basics of Frequentist vs. Baysian approaches and data analysis, and applies them to data analysis tasks from a wide range of physics. It also looks at common statistical mistakes and fallacies and examines how to present data graphically and in writing.



Physics and Astronomy Problem Solving uses weekly problems classes to examine how physics knowledge can be applied to unfamiliar (often 'real world') problems to obtain quick, rough, but sound and useful conclusions/answers (often known as the 'back of the envelope' approach to problem solving). Problems cover the full range of core physics, requiring identification of which aspect of physics and astronomy is relevant to a particular problem. 

10 credits

Project modules – one from:

Research project in Physics

The aim of this 20 credit module is to provide an opportunity for students to exercise and develop their skills and ability to undertake independent, albeit closely supervised, research in physics. A very wide selection of projects is provided, often arising from current research in the Department. Many are practical, others are essentially theoretical or interpretative or require the development of and running of computer programmes designed to simulate a variety of physical phenomena. Most projects are collaborative and encourage students to work in pairs. Assessment is based on individual written reports and oral examinations. These provide exercise in presentational skills.

20 credits

Industrial Group Project in Physics

PHY346 provides students with an industrial project where team working, planning, time management; presentation and report writing are integrated with science problem solving. The industrial client poses a problem that a group work on over two semesters to resolve. Interim and final presentations are made to the client and academic supervisors. Project work may use laboratory measurement and computational approaches as well as referencing leading research literature.

20 credits

Quantum Information Laboratory

This predominantly laboratory-based module provides a foundation in quantum optics experiments and associated theory. The quantum nature of light will be studied in core experiments involving single photon generation and detection, measurements of photon statistics and photon interference. Experimental activities will be supported by a series of lectures and problems classes. The link with quantum information research is made through research seminars from university research groups and companies, plus a 'journal club' where key scientific papers are presented and discussed. Transferable skills acquired will prepare students for higher study and employment in industries involving quantum technologies.

20 credits

Physics Education and Outreach

This 20-credit Extended Project unit is intended primarily for students considering a career in teaching, but may also be of interest to those wishing to pursue careers in science communication in general. The first half of the unit will introduce a range of topics including theory of learning and teaching, skills such as video editing, physics in the National Curriculum, and a range of hands-on exercises in science teaching and communication. Students will undertake a range of assignments related to the taught material, which may include lesson observations in schools, making videos or podcasts, radio broadcasts, writing popular articles or creating resources for schools. The second half consists of a 10-credit project: a wide range of schools and outreach-related topics are available.

Note that admission to this unit is subject to an interview and a DBS check. This is because parts of the unit require students to visit schools and interact with pupils.

20 credits

Optional modules – two from:

Nuclear Physics

This half-module Level 3 Physics course aims to study the general properties of nuclei, to examine the characteristics of the nuclear force, to introduce the principal models of the nucleus, to discuss radioactivity, to study nuclear reactions, in particular fission and fusion, and to develop problem solving skills in all these areas. The motivation is that nuclear processes play a fundamental role in the physical world, in the origin of the universe, in the creation of the chemical elements, as the energy source of the stars and in the basic constituents of matter - plus the best of all motives - curiosity.

10 credits

Astrobiology

Is anybody out there? In this module we explore how we hope to find alien life in the near future and discuss what this might be like and where we should be looking. We critically examine ideas about the frequency of life, advanced life, and technological civilisations in the universe.

10 credits

History of Astronomy

The module aims to provide an introduction to the historical development of modern astronomy. After a brief chronological overview and a discussion of the scientific status of astronomy and the philosophy of science in general, the course is divided into a series of thematic topics addressed in roughly chronological order. We will focus on the nature of discovery in astronomy, in particular the interplay between theory and observation, the role of technological advances, and the relationship between astronomy and physics.

10 credits

Dark Matter and the Universe

This course aims to provide students with an understanding of Dark Matter in the Universe from both the astrophysics and particle physics viewpoints. This course is split into two halves. The first half of the course is on the astrophysical evidence for Dark Matter, and the second half of the course is on the detection of candidate Dark Matter particles. The main teaching method is the standard 50-minute lecture, which is well suited to the delivery of the factual information in this course. This is backed up by a blackboard site containing copies of the lecture notes, lecture recordings, and non-assessed exercises.



The syllabus will include the astrophysical evidence for dark matter in the Universe, the search for dark matter candidates, including direct and indirect searches for Weakly Interacting Massive Particles (WIMPs), the search for supersymmetry at the Large Hadron Collider, and axion searches.

10 credits

Origin of the Chemical Elements

This course looks at the origin, distribution and evolution of the chemical elements, which are created in the early Universe, during the life cycles of stars and in the interstellar medium.The main teaching method is the standard 50-minute lecture, which is well suited to the delivery of the factual information in this course. This is backed up by a blackboard site containing copies of the lecture notes, lecture recordings, and non-assessed exercises. Syllabus includes topics such as: Experimental evidence for elemental abundances; Observational evidence for elemental abundances; Primordial nucleosynthesis; Stellar nucleosynthesis; Neutron capture Supernovae and kilonovae; Cosmic rays.

10 credits

Core modules:

Star Formation and Evolution

The module will cover advanced astrophysics topics involving observations and theory of star and planet formation, plus the evolution of low, intermediate and high mass single stars, close binary evolution including their end states (white dwarfs, neutron stars, black holes), supernovae and gamma ray bursts.

10 credits

Galaxy Formation and Evolution

This module will cover one of the most exciting and fast moving topics in current astrophysics research, the formation and evolution of galaxies from an observational perspective. Starting with a brief historical introduction, the module will then summarise what we can learn about galaxy evolution from studies of galaxies in the local Universe, before discussing the results obtained from recent deep field observations of the high redshift Universe. The final part of the module will concern the important role that active galactic nuclei play in galaxy evolution.

10 credits

Research project

Students will undertake a supervised research project during the whole of the 4th year of an MPhys degree, applying their scientific knowledge to a range of research problems experimental and/or theoretical projects spanning the research expertise of the Department. Along with applying their knowledge, students will manage their project, ensuring that they develop skills in time management, project planning, scientific record keeping, information retrieval and analysis from scientific and other technical information sources.

60 credits

Optional modules – two from:

Physics in an Enterprise Culture

This is a seminar and workshop based course with a high level of student centred learning. The unit will introduce students to the methods and skills associated with innovation, business planning, costing and marketing. It will broaden students understanding of the mechanics of project planning and research commercialisation. The course is divided into two components:

Part 1: Coming up with ideas. Students will take part in guest lectures and workshop classes to explore different ideas for business. They will learn about the innovation process and what makes a sucessful business. They will finish part 1 by submitting a draft business proposal that will be reviewed by academic staff and student peers and feedback will be given.

Part 2: Armed with the feedback from part 1 students will refine thier ideas and work towards a final pitch for thier business. Further support will be given to students to develop a costing of the idea.

10 credits

History of Astronomy

The module aims to provide an introduction to the historical development of modern astronomy. After a brief chronological overview and a discussion of the scientific status of astronomy and the philosophy of science in general, the course is divided into a series of thematic topics addressed in roughly chronological order. We will focus on the nature of discovery in astronomy, in particular the interplay between theory and observation, the role of technological advances, and the relationship between astronomy and physics.

10 credits

Advanced Particle Physics

The main aim of the unit is to give a formal overview of modern particle physics. The mathematical foundations of Quantum Field Theory and of the Standard Model will be introduced. The theoretical formulation will be complemented by examples of experimental results from the Large Hadron Collider and Neutrino experiments. The unit aims to introduce students to the following topics:
- A brief introduction to particle physics and a review of special relativity and quantum mechanics
- The Dirac Equation
- Quantum electrodynamics and quantum chromo-dynamics
- The Standard Model
- The Higgs boson
- Neutrino oscillations 
- Beyond the Standard Model physics

10 credits

Advanced Electrodynamics

This module gives a detailed mathematical foundation for modern electrodynamics, starting from Maxwell's equations, charge conservation and the wave equation, to gauge invariance, waveguides, cavities and antennas. After a brief recap of vector calculus, we explore the role of the scalar and vector potential, the multi-pole expansion of the field, the Poisson and Laplace equations, energy and momentum conservation of the fields, and Green's functions. We conclude with a relativistic treatment of the fields.

10 credits

The Development of Particle Physics

The module describes the development of several crucial concepts in particle physics, emphasising the role and significance of experiments. Students are encouraged to work from the original literature (the recommended text includes reprints of key papers). The module focuses not only on the particle physics issues involved, but also on research methodology - the design of experiments, the critical interpretation of data, the role of theory, etc. Topics covered include the discoveries of the neutron, the positron and the neutrino, experimental evidence for quarks and gluons, the neutral kaon system, CP violation etc.

10 credits

Dark Matter and the Universe

Dark matter, though still unidentified and not yet directly detected, is established as a major constituent of the universe according to modern cosmology. In this course, we will review the astrophysical and cosmological evidence for the existence of dark matter, critically assess the various candidates that have been put forward, and discuss direct detection methods for the two most popular candidates: WIMPs and axions. The course has a multidisciplinary flavour combining work in astronomy, particle physics, solid state physics, detector technology and philosophy, encouraging development of skills in all these.

10 credits

Advanced Quantum Mechanics

This module presents modern quantum mechanics with applications in quantum information and particle physics. After introducing the basic postulates, the theory of mixed states is developed, and we discuss composite systems and entanglement. Quantum teleportation is used as an example to illustrate these concepts. Next, we develop the theory of angular momentum, examples of which include spin and isospin, and the method for calculating Clebsch-Gordan coefficients is presented. Next, we discuss the relativistic extension of quantum mechanics. The Klein-Gordon and Dirac equations are derived and solved, and we give the equation of motion of a relativistic electron in a classical electromagnetic field. Finally, we explore some topics in quantum field theory, such as the Lagrangian formalism, scattering and Feynman diagrams, and modern gauge field theory.

10 credits

Optical Properties of Solids

This course covers the optical physics of solid state materials. It begins with the classical description of optical propagation. It then covers the treatment of absorption and luminescence by quantum theory, and the modifications caused by excitonic effects. The phenomena are illustrated by discussing the optical properties of insulators, semiconductors, and metals. The infrared properties of ionic systems are then discussed, and the course concludes with a brief introduction to nonlinear crystals.

10 credits

An Introduction to General Relativity

This module introduces coordinate systems and transformations in Euclidean space. The principles of special relativity are reviewed, with emphasis on the coordinate transformations between systems moving at constant velocities. Our discussion of general relativity begins with an introduction to the principle of equivalence. We introduce the Christoffel symbols and the curvature tensors. We study examples of phenomena affected by general relativity, the rate of clocks and the redshift and bending of light in a gravitational field. Finally, we examine space time in the vicinity of the event horizon, the geometry of a non-spinning black hole, and the geometry of wormholes.

10 credits

Origin of the Chemical Elements

This course looks at the origin, distribution and evolution of the chemical elements, which are created in the early Universe, during the life cycles of stars and in the interstellar medium. The main teaching method is the standard 50-minute lecture, which is well suited to the delivery of the factual information in this course. The syllabus includes topics such as: Experimental evidence for elemental abundances; Observational evidence for elemental abundances; Primordial nucleosynthesis; Stellar nucleosynthesis; Neutron capture; Supernovae and kilonovae; Cosmic rays; Galactic chemical evolution.

15 credits

Astrobiology

Does other life exist, what might it be like, and how could we find it? In this course we examine how planets are found, and what we know about them. We consider what we know about 'life' looking at what we know about the processes, origin, and evolution of life on Earth and how life has changed the planet. This leads us to ideas about how to look for alien life and to think about what that life might be like. We finish by discussing the possibilities of intelligent technological civilisations, and the future of the human race.

15 credits