nLab
Lorentz force

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Contents

Idea

The Lorentz force is the force excerted in a particle that is charged under the electromagnetic field.

See relativistic particle for details.

Properties

In Kaluza-Klein compactifications

If one models the electromagnetic field via the Kaluza-Klein mechanism as a field of gravity on a fiber bundle, then trajectories of charged particles subject to the Lorentz force in the base space of that bundle are euivalently just geodesics on the total space, e.g. (Bleecker 81). An exposition of this fact is in (Bartlett 13).

References

The generalization to the spinning particle is discussed for instance in

Discussion of Lorentz force from the point of view of the Kaluza-Klein mechanism is in

  • David Bleecker, Gauge theory and variational principles, Dover publications, 1981.

and exposition is in

Revised on September 22, 2013 19:06:06 by Urs Schreiber (89.204.139.76)