Pairwise Summation Approximation of Casimir energy from first principles

Abstract

We obtain the Pairwise Summation Approximation (PSA) of the Casimir energy from first principles in the soft dielectric and soft diamagnetic limit, so we find that the PSA is an asymptotic approximation of the Casimir energy valid for large distances between the objects. We also obtain the PSA for the electromagnetic coupling part of the Casimir energy, so we are able to complete the PSA limit at a first time for the complete electromagnetic field.

9 pages, no figures

References in corpus (5)

• Casimir forces between arbitrary compact objects
• Casimir Forces between Compact Objects: I. The Scalar Case
• Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
• Three-body Casimir effects and non-monotonic forces
• Lifshitz Interaction between Dielectric Bodies of Arbitrary Geometry

Cited by in corpus (6)

• A Materials Perspective on Casimir and van der Waals Interactions
• Casimir forces on atoms in optical cavities
• Casimir Energy and Entropy in the Sphere--Sphere Geometry
• Casimir repulsion between Topological Insulators in the diluted regime
• Pairwise summation approximation for Casimir potentials and its limitations
• Casimir forces and quantum friction of finite-size atoms in relativistic trajectories