Casimir Physics

2010/07/31 by Steven G. Johnson, Peter Milonni, David Roberts +2 · 17 citations
Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #physics.comp-ph #quant-ph

paper · pdf · doi:10.1007/978-3-642-20288-9

published as In Casimir Physics, Lecture Notes in Physics vol. 834, ch. 6, pp. 175--218 (Springer, 2011) · 46 pages, 142 references, 5 figures. To appear in upcoming Lecture Notes in Physics book on Casimir Physics

arxiv created 2010/10/01 · openalex publication_date 2011/01/01 · arxiv updated 2012/01/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We review several different approaches for computing Casimir forces and related fluctuation-induced interactions between bodies of arbitrary shapes and materials. The relationships between this problem and well known computational techniques from classical electromagnetism are emphasized. We also review the basic principles of standard computational methods, categorizing them according to three criteria---choice of problem, basis, and solution technique---that can be used to classify proposals for the Casimir problem as well. In this way, mature classical methods can be exploited to model Casimir physics, with a few important modifications.

Citations

• Casimir Forces between Arbitrary Compact Objects
• The Influence of Retardation on the London-van der Waals Forces
• Casimir energy and geometry: beyond the proximity force approximation
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• Casimir effect for a sphere and a cylinder in front of a plane and corrections to the proximity force theorem
• The Casimir effect within scattering theory
• Worldline algorithms for Casimir configurations
• Casimir forces: An exact approach for periodically deformed objects
• Meep: A flexible free-software package for electromagnetic simulations by the FDTD method

Cited by

• The Casimir effect in microstructured geometries
• Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings
• Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
• Damped vacuum states of light
• van der Waals interaction energy between two atoms moving with uniform acceleration
• Quantum dissipative effects in graphenelike mirrors
• Nonclassical microwave radiation from the dynamical Casimir effect
• Dark Matter Axions, Non-Newtonian Gravity and Constraints on Them from Recent Measurements of the Casimir Force in the Micrometer Separation Range
• Approximate analytical results on the cavity dynamical Casimir effect in the presence of a two-level atom
• Motion induced excitation and radiation from an atom facing a mirror
• Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
• Dynamical Casimir effect via modulated Kerr or higher-order nonlinearities
• Quantum work distributions associated with the dynamical Casimir effect
• Thermal corrections to quantum friction and decoherence: A closed-time-path approach to atom-surface interaction
• Explosive particle creation by instantaneous change of boundary conditions
• Molecular recognition by van der Waals interaction between polymers with sequence-specific polarizabilities
• Casimir effect [wikipedia]

Related

• Casimir Force: Vacuum fluctuation, zero-point energy, and computational electromagnetics
• Computation of Casimir interactions between arbitrary three-dimensional objects with arbitrary material properties
• New Challenges and Directions in Casimir Force Experiments
• Casimir Force for Arbitrary Objects Using the Argument Principle and Boundary Element Methods
• Casimir Forces between Arbitrary Compact Objects