The Gauss-Landau-Hall problem on Riemannian surfaces


We introduce the notion of Gauss-Landau-Hall magnetic field on a Riemannian surface. The corresponding Landau-Hall problem is shown to be equivalent to the dynamics of a massive boson. This allows one to view that problem as a globally stated, variational one. In this framework, flowlines appear as critical points of an action with density depending on the… (More)


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@inproceedings{Barros2004TheGP, title={The Gauss-Landau-Hall problem on Riemannian surfaces}, author={M B de L Barros and Jos{\'e} L. Cabrerizo and Manuel Fern{\'a}ndez and Alfonso Romero}, year={2004} }