Cone

  In spherical coordinates, the sphere is a surface of constant radial coordinate r, while a cone is the surface of constant angular coordinate θ.

  Interaction energy of a cone as function of opening angle:

  "Casimir force between sharp–shaped conductors,"

M.F. Maghrebi, S.J. Rahi, N. Graham, T. Emig, R.L. Jaffe, & M. Kardar, preprint (2010)

  The results for this geometry are very sensitive to geometry (at micrometer separations)

Scattering approach Outline Casimir force Repulsion (BC) Repulsion (shape) Scattering (Cone) Earnshaw's theorem Out of equilibrium Summary