Week 5
![]() |
Week 5 overview |
- 9. Continuous symmetries of dynamics / 3 February 2015 /
- 10. Got a continuous symmetry? Freedom and its challenges / 5 February 2015 /
- Homework 5
Symmetry reduction: If the symmetry is continuous, the interesting dynamics unfolds on a lower-dimensional "quotiented" system, with "ignorable" coordinates eliminated (but not forgotten). Hilbert's invariant polynomials. Cartan's moving frames.
![]() |
Chapter 10 Relativity for cyclists |
![]() |
Chapter 10 Overheads - PLACE HOLDER |
![]() |
PLACE HOLDER |
![]() |
PLACE HOLDER |
Whenever you have a continuous symmetry, you need to cut the orbit to pick out one representative for the whole family. For continuous spatial symmetries, this is achieved by slicing. And then there is dicing.
![]() |
Chapter 10A Slice & dice |
![]() |
Chapter 10A verheads - PLACE HOLDER |
![]() |
PLACE HOLDER |
![]() |
PLACE HOLDER |
![]() |
PLACE HOLDER Due 17 February 2015 |
![]() |
Discussion forum for week 5 |