  The imposition of boundary conditions upon a quantized field can lead to
singular energy densities on the boundary. We treat the boundaries as quantum
mechanical objects with a nonzero position uncertainty, and show that the
singular energy density is removed. This treatment also resolves a long
standing paradox concerning the total energy of the minimally coupled and
conformally coupled scalar fields.

Quantum Physics;General Relativity and Quantum Cosmology;High Energy Physics - Theory