Jonathan Coulthard

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Jonathan Coulthard

Postdoctoral Research Assistant

I am interested in the dynamics of strongly-correlated quantum systems driven far from equilibrium. In particular, by selectively driving particular degrees of freedom, can we control, switch and stabilise interesting and useful phases, with enhanced superconducting or magnetic properties?

CP3: Mathematical Methods I

Here you will find some information regarding the organisation of tutorials for the CP3: Mathematical methods I course. Please email if you have any questions about the work or the tutorials.

Tutorial Information

We'll start each session at 2pm with a class of 1.5-2 hours. Afterwards we'll have paired tutorials of around 30 minutes, where you'll be free to ask any questions you have about the material we've covered.

Note that we will not be using the lecturers' problem sets, but my own (given below). These are based on the problem sheets by Tomi Johnson, who taught the course before me. More detailed information about the course is given over at his web page.

Remember, the point of these problem sets is not for you to fool us into thinking you understand the material when you don't. Nor are we particularly interested in you getting the correct answer (often it is given in the problem!) Rather, you should view them as an opportunity for you to deepen and assess your own understanding, and demonstrate your understanding to us. The classes/tutorials then there for you to ask questions and plug any gaps.

Please only hand in written solutions for the "Problems", not the "Class problems". We will solve a selection of these together during the class and/or tutorials, so you may want to at least look at them beforehand.

Problems marked with a * are typically easy practice of standard mathematical manipulations. They are essential to your understanding, and you should still hand in full solutions. However, I will not mark these unless you have difficulties and explicitly ask me to.

Tutorial Schedule

I will keep you updated with when and where tutorials sessions will be and when to hand in work, but it might be useful to check the following list, which I will keep up to date. Email me if there is any ambiguity, or clashes with other tutorials.

Please hand in all work to the porters' lodge at Keble by the deadlines given below.

MT Week 1

Problem Sets: Vacation work and Complex numbers.
Hand in work: Vacation work: Wednesday 0th week 5pm, Complex numbers: Monday 1st week 5pm.
Class: Wednesday 1st Week 2:00pm-4:00pm, Seminar Room 2 (Sloane Robinson building).
Tutorials: Wednesday 1st Week 4:00pm-6:00pm, Dieter Jaksch's office (Room 3803).

MT Week 2

Problem Set: Vectors and matrices I (Old).
Hand in work: Tuesday 2nd week 5:00pm.
Class: Thursday 2nd Week 2:00pm-4:00pm, Stafford Crane Room (ARCO building).
Tutorials: Thursday 2nd Week 4:00pm-6:00pm, Dieter Jaksch's office (Room 3803).
Further Resources: Notes on index notation and Einstein summation convention

MT Week 3

Problem Set: Vectors and matrices II (Old).
Hand in work: Monday 3rd week 5:00pm.
Class: Wednesday 3rd Week 2:00pm-4:00pm, Seminar Room 2 (Sloane Robinson building).
Tutorials: Wednesday 3rd Week 4:00pm-6:00pm Dieter Jaksch's office (Room 3803).

MT Week 5

Problem Set: Ordinary differential equations (Old).
Hand in work: Tuesday 5th week, 9:00am.
Class: Wednesday 5th Week 2:00pm-4:00pm, Seminar Room 2 (Sloane Robinson building).
Tutorials: Wednesday 5th Week 4:00pm-6:00pm, Dieter Jaksch's office (Room 3803).

MT Week 7

Problem Set: Advanced problems (Old).
Hand in work: Monday 7th Week 5:00pm.
Class: Wednesday 7th Week 2:00pm-4:00pm, Seminar Room 6 (Sloane Robinson building).
Tutorials: Wednesday 7th Week 4:00pm-6:00pm, Dieter Jaksch's office (Room 3803).

TT Week 1

Problem Set: College Exam.
Revision Class: Wednesday 1st Week 2:00pm-4:00pm, Seminar Room 6 (Sloane Robinson building).

S1: Quantum Ideas

Here you will find some information regarding the organisation of tutorials for the S1: Quantum Ideas course. Please email if you have any questions about the work or the tutorials.

Tutorial Information

Colleges do not typically provide tutorial teaching for short options. However, at Keble we think it's important to give you a solid introduction to Quantum Mechanics in your first year before you learn it properly next year. Quantum mechanics underpins much of modern physics -- and will form the foundation for your studies in atomic and laser, condensed matter, and subatomic physics in the third year.

Tutorial Schedule

TT Week 3

Problem Set: Quantum Ideas I.
Hand in work: Monday 3rd week 5:00pm.
Class: Wednesday 3rd Week 2:00pm-4:00pm, Stafford Crane Room (ARCO building).
Tutorials: Wednesday 3rd Week 4:00pm-6:00pm, Dieter Jaksch's office (Room 3803).
Further Resources:
Robert Millikan's 1916 paper on determining Planck's constant.
Feynman's discussion of the double-slit experiment. Well worth a read!
Experimental realisation of double-slit interference with electrons.

TT Week 4

Problem Set: Quantum Ideas II.
Hand in work: Monday 4th week 5:00pm.
Class: Wednesday 4th Week 2:00pm-4:00pm, Seminar Room 5 (Sloane Robinson Building).
Tutorials: Wednesday 4th Week 4:00pm-6:00pm, Dieter Jaksch's office (Room 3803).