MPhys lecture notes
For all visitors:
The notes here were taken during an MPhys Physics and Astrophysics course at Manchester University between 2002 and 2006. They are placed here in the hope that they prove useful to other people, mainly those also studying Physics at Manchester. While the typing was done to me, the content belongs to the lecturers in the courses. They should not be mass-duplicated.
The files are all in PDF format. If you're on a PC you'll need Adobe Acrobat to access them. Mac OS X has built-in PDF support, so nothing new needed there. Each PDF file tends to be upwards of 2MB each, so they'll take a while for you to download if you're on a slow connection.
I apologise for the size of these PDF's; I used Microsoft Word and MathType to write the notes, and they don't convert to small PDFs (I think that the PDF ends up with all of the equations as images).
For fellow students:
These notes are not complete, and they are not 100% accurate. There are typing mistakes in both words and equations, and diagrams may be incomplete or missing completely. At the very least, you should use these notes in addition to your own. Preferably, use them in conjunction with your own notes and one of the recommended books for the course.
These notes are intended only to unofficially support the lecture courses, not replace them. You should not miss lectures thinking you can just get the notes here afterwards. I am not that reliable at uploading the notes, plus there are likely to be the aforementioned errors. They are not an official resource, and they are not endorsed - or generally even known of - by the course lecturers.
A final warning: these PDFs are big! (i.e. a couple of MB+ each.) They will take a while for you to download, unless you're on an über-fast connection. So be patient if you do decide to download them!
Contents
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1st Year, 2002/3
The first year course has changed considerably since I took it. It probably now bears only a passing resemblance to the notes here.
Semester 1
- PC 1071 - Mathematics for Physicists
- PC 1101 - Space, Time and Motion
- PC 1151 - Gases, Liquids and Solids
- PC 1171 - Vectors, Fields and Matrices
- PC 1491 - Introductory Astronomy
Semester 2
- PC 1302 - Vibrations and Waves
- PC 1342 - Electricity & Magnetism
- PC 1352 - Introduction to Thermal Physics
- PC 1372 - Divs, Grads and Curls
- PC 1692 - Physics of the Solar System
2nd Year, 2003/4
Semester 3
My laptop broke down in the middle of this semester, and then Time took over a month to admit that they'd lost it in the post. As a result, most of my notes from this semester are hand-written, and I doubt I'll ever have the time / be in the mood to finish typing them up now. Sorry!
Semester 4
- PC 2302 - Atoms and Nuclei
- PC 2312 - Wave Optics
- PC 2352 - Thermal and Statistical Physics
- PC 2692 - High Energy Astrophysics
Semester 6, 2005
PC 3322 - Nuclear Physics
Lecturer: Dr. J. Billowes
- 0. Introduction
- 1. Nuclear Scale
- 2. Nuclear Models
- 3. Collective Excitations
- 4. Alpha decay
- 5. Beta decay
- 6. Gamma Decay
PC 3352 - Solid State Physics
Lecturer: P. Mitchell
- 0. Introduction
- 1. Crystal Structures
- 2. Diffraction and the Reciprocal Lattice
- 3. Lattice Dynamics
- 4. Metals
- 5. Semiconductors
PC 3392 - Cosmology
Lecturer: P. Wilkinson
- Lectures 1-2
- Lectures 3-4
- Lectures 5-6
- Lectures 7-8
- Lectures 9-10
- Lectures 11-12
- Lectures 13-14
- Lectures 15-16
- Lectures 17-18
- Lectures 19-20
- Lectures 21-22
PC 3692 - Stars and Stellar Evolution
Lecturer: A. Zijlstra
- 1. Observations
- 2. Basic Physics and Equations of Stellar Structure
- 3. Equations of State
- 4. Opacity
- 5. Energy Sources
- 6. Limits on the Mass of Stars
- 7. The Complete Problem
- 8. Mass, Radius and Luminosity Relations
- 9. Early Stellar Evolution
- 10. Post Main Sequence Evolution
Semester 5, 2004
PC 3101 - Quantum Mechanics
- 0. Introduction
- 1. 1D Schrodinger Equation
- 2. Mathematical Tools
- 3. The Postulates of Quantum Mechanics
- 4. Properties of Observables
- 5. Dirac Notation
- 6. Angular momentum
- 7. Magnetic Moment and Spin
- 8. Addition of Angular Momenta
- 9. Central Potentials
- 10. The Hydrogen Atom
- 11. Time Independent Perturbation Theory
- 12. Exam Hints
PC 3121 - Particle Physics
PC 3151 - Bose and Fermi Gases
- 0. Introduction
- 1. Quantum Mechanics of Ideal Gases
- 2. Quantum Mechanics of Particles in a Box
- 3. The Thermal Physics of the Ideal Classical Gas
- 4. The Bose-Einstein and Fermi-Dirac Distribution
- 5. The ideal Fermi Gas at Low Temperature
- 6. The Ideal Bose Gas at Low Temperatures
- 7. Ideal Gas of Photons Black Body Radiation
- 8. Lattice Vibrations of Solids
- 9. Electrons in Semiconductors
PC 3491 - Interstellar Physics
- 2. Radiative Transfer
- 3. The Cool ISM
- 4. Photo-Ionized Gas
- 5. Introduction to Gas Dynamics
- 6. Expansion of HII Regions
- 7. Supernova Remnants and The Hot ISM
Semester 7, 2005
PC 4521 - Frontiers of Particle Physics 1
Section 1: Dr. F. Loebinger
Section 2: BaBar, lecturer Nick Barlow
Section 3: Tevatron / LHC
PC 4691 - Frontiers of Astrophysics
(Various lecturers)
Section 1. Pulsars
Section 2. Interstellar Dust
Rest of notes / images on lecture handout.
Section 3. The Solar Corona
Second lecture was done off the lecture handout.
Section 4: The CMB
Section 5: Gravitational Lenses
- Lenses_corrected.pdf Notes from blackboard (Corrected - original version Lenses.pdf here)
- Powerpoint slides available from lecturer.
PC 4771 - Gravitation
Lecturer: Dr R A Battye
- Handouts available from lecturer
- Lectures 1&2: done from handout.
- Lectures 3&4
- Lectures 5&6
- Lectures 7&8
- Lectures 9&10
- Lectures 11&12
- Lectures 13&14
- Lectures 15&16
- Lectures 17&18
- Lectures 19&20
- Lectures 21&22
- Lectures 23&24
Semester 8, 2006
PC 4602 - Relativistic Quantum Mechanics
Lecturer: Dr. G. Shaw
- Lecture 1
- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6
- Lecture 7
- Lecture 8
- Lecture 9
- Lecture 10
... After lecture 10, I stopped attending the course due to the times of the lectures. I was only observing the course; I wasn't taking it.
PC 4722 - Frontiers of Particle Physics II
Section 1: Steve Snow - Particle Detectors
Section 2: Brian Cox - Neutrinos
Section 3: Un-ki Yang - Deep Inelastic Scattering
Section 4: Dr. Stefan Söldner-Rembold - CP Violation
(Note that slides which weren't shown in the lectures can be ignored.)
PC 4772 - The Early Universe
Lecturer: Dr. Battye
- Handouts available on lecturer's website (at least in theory...)
- Lectures 1 & 2
- Lectures 3 & 4
- Lectures 5 & 6
- Lectures 7 & 8
- Lectures 9 & 10
- Lectures 11 & 12
- Lectures 13 & 14
- Lectures 15 & 16
- Lectures 17 & 18
- Lecture 19
- Lecture 20
- Lectures 21 & 22
PC 4902 - Quantum Many-Body Physics
Lecturers: Dr. Gernoth & Dr. Godfrey
The rest of this course was done from handouts. Examples sheets are available from the lecturer's website.
PC 4992 - Galactic Dynamics
Lecturer: Dr. Gray
Most of this course is done from handouts; I will only be putting content up here which isn't covered in the handouts.
- Lectures 1 & 2
- Lectures 7 & 8
- Lectures 11 & 12
- Lectures 13 & 14
- Lectures 15 & 16
- Lectures 17 & 18
- Lectures 19 & 20
- Lectures 21 & 22
Equation Wall
Last updated: 30 April 2006
Below are the files that make up my "equation wall". Note that they are far from being complete - they contain none of the fourth-year material, are a bit spotty on 3rd year material, and may be missing some equations from first and second year. They also might contain errors. I will improve them when I can, but with no guarentees attached.
Files are available in both PDF and Word Document format. Please read the second and third paragraphs above for information on how to access/edit the files.
If you notice any mistakes, or notable omissions, please let me know.
- Atomic Physics: DOC, PDF
- Constants: DOC, PDF
- Electricity & Magnetism: DOC, PDF
- Mathematics: DOC, PDF
- Mechanics: DOC, PDF
- Thermal Physics: DOC, PDF
