Symplectic geometry & classical mechanics, Problem sheet 4

December 12, 2017

For winter semester 2017-18 I am giving a course on symplectic geometry and classical mechanics. This course is intended for anyone with a familiarity with classical mechanics and basic differential geometry. You can find the Youtube playlist here.

Problem sheets are being prepared by Terry Farrelly and will be made available here on my blog, however solutions will *not* be distributed.

Here you can find problem sheet 4.


Symplectic geometry & classical mechanics, Problem sheet 3

December 12, 2017

For winter semester 2017-18 I am giving a course on symplectic geometry and classical mechanics. This course is intended for anyone with a familiarity with classical mechanics and basic differential geometry. You can find the Youtube playlist here.

Problem sheets are being prepared by Terry Farrelly and will be made available here on my blog, however solutions will *not* be distributed.

Here you can find problem sheet 3.


Symplectic geometry & classical mechanics, Problem sheet 2

December 12, 2017

For winter semester 2017-18 I am giving a course on symplectic geometry and classical mechanics. This course is intended for anyone with a familiarity with classical mechanics and basic differential geometry. You can find the Youtube playlist here.

Problem sheets are being prepared by Terry Farrelly and will be made available here on my blog, however solutions will *not* be distributed.

Here you can find problem sheet 2.


Symplectic geometry & classical mechanics, Problem sheet 1

October 26, 2017

For winter semester 2017-18 I am giving a course on symplectic geometry and classical mechanics. This course is intended for anyone with a familiarity with classical mechanics and basic differential geometry. You can find the Youtube playlist here.

Problem sheets are being prepared by Terry Farrelly and will be made available here on my blog, however solutions will *not* be distributed.

Here you can find problem sheet 1.


Advanced quantum theory

June 6, 2016

This summer semester (2016) I am giving a course on advanced quantum theory. This course is intended for theorists with familiarity with basic textbook single-particle quantum mechanics. The main objective is to understand how to study many interacting particles within QM. We will cover second quantisation, scattering theory, and some elementary relativistic quantum mechanics.

The course is now well under way and there are already several lectures available on youtube in the following playlist. I’ll be posting the rest there as the course develops.

 


The theory of quantum noise and decoherence, lecture 13

January 27, 2016

The video of my 13th lecture on the theory of quantum noise and decoherence is now available.
Here in lecture 13 I complete the derivation of Lindblad form for completely positive semigroups and discuss quantum jumps:


The theory of quantum noise and decoherence, lecture 12

January 27, 2016

The video of my 12th lecture on the theory of quantum noise and decoherence is now available.
Here in lecture 12 I begin the derivation of Lindblad form for completely positive semigroups:


The theory of quantum noise and decoherence, lecture 11

January 27, 2016

The video of my 11th lecture on the theory of quantum noise and decoherence is now available.
Here in lecture 11 I continue the discussion of a model for the continuous measurement of position:


The theory of quantum noise and decoherence, lecture 9

January 27, 2016

The video of my 9th lecture on the theory of quantum noise and decoherence is now available.
Here in lecture 9 I discuss quasi-free fermion systems and begin the discussion of master equations for quantum dots:


The theory of quantum noise and decoherence, lecture 8

December 14, 2015

The video of my 8th lecture on the theory of quantum noise and decoherence is now available.
Here in lecture 8 I derive and solve the master equation for radiative damping and cavity decay: