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Tom Heinzl (Plymouth)

April 25 @ 2:00 pm - 3:00 pm

Integrability of Relativistic Dynamical Systems

In my presentation I will give a brief overview of our recent studies of relativistic dynamical systems. These are described by the Newton-Einstein-Lorentz equation generalising F = ma in the presence of external (electromagnetic) forces. I will explain how space-time and conformal symmetries may be employed to find conserved quantities that lead to integrability. In quite a few cases, the number of these quantities is surprisingly large implying super-integrability. This feature is somewhat ‘exotic’ due to its rare occurrence. For instance, by Bertrand’s theorem, in classical mechanics it only holds for the Kepler problem (with its Laplace-Runge-Lenz vector) and the harmonic oscillator. Using our generalised setting we have been able to extend this list significantly.

Details

Date:
April 25
Time:
2:00 pm - 3:00 pm
Event Categories:
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Venue

Room 101
2-5 Kirkby Place
Plymouth, PL4 6DT United Kingdom
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