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Dynamics of particles and fields on the torus: references
In some situations (e.g. molecular dynamics situations, Euclidean QFT, cosmology), a common trick to eliminate boundary effects or to provide an infrared cutoff is to use periodic boundary conditions. ...
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Topology of equipotential surfaces
Let's think of planar equipotential surfaces, say they are parallel to the x-y plane, then apparently $p_x$ and $p_y$ are conserved quantities.
Next, let's move on to cylindrical equi-potentials. ...