Revisiting the Casimir Energy with General Boundary Conditions, and applications in 1D Crystals

Abstract

We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory. This result enables to provide the quantum vacuum energy for scalar fields propagating under the influence of a one-dimensional crystal represented by a periodic potential formed by an infinite array of identical potentials with compact support.

To appear in Mod. Physics. Lett. A. Based on a talk given at the "10th ALEXANDER FRIEDMANN INTERNATIONAL SEMINAR ON GRAVITATION AND COSMOLOGY AND 4th SYMPOSIUM ON THE CASIMIR EFFECT" (St. Petersburg, Russia, June 2019)

Cited by in corpus (2)

• Thermal Casimir effect with general boundary conditions
• One-dimensional scattering of fermions in double Dirac delta potentials