IN PHYSICS dynamical systems
Recent papers
The motive is to understand physics
via differential geometry and
differential geometry via physics
COURSE CONTENT
 | Connection between natural geometric structures on manifolds and physics. |
| The meaning of Lagrangian, Hamiltonian, symplectic geometry, and all that. |
| New alternative approaches: Lax equation, bi-Hamiltonian systems, Nambu mechanics, Lie-Poisson structure, etc. |
| Special examples (from Euler's top to gauge theory). |
| Lie algebras, discussion on symmetry and on integrability. |
| Connections with field theory and statistical mechanics. |
| Alternative methods of quantization -- advantages and problems. |
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