Casimir effect from a scattering approach

Abstract

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to discuss the Casimir effect. It avoids in a transparent way divergences appearing in the evaluation of the vacuum energy. Furthermore, the scattering approach connects in a natural manner to the standard discussion of one-dimensional scattering problems in a quantum theory course. Finally, it allows to introduce students to the methods employed in the current research literature to determine the Casimir force in real-world systems.

8 pages, 3 figures

References in corpus (31)

• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Measurement of the Casimir force between parallel metallic surfaces
• Nonlinear Micromechanical Casimir Oscillator
• Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
• Casimir forces between arbitrary compact objects
• Measurement of the Casimir force between dissimilar metals
• Observation of the thermal Casimir force
• Opposites Attract - A Theorem About The Casimir Force
• Template-stripped gold surfaces with 0.4 nm rms roughness suitable for force measurements. Application to the Casimir force in the 20-100 nm range
• Casimir force between metallic mirrors
• Demonstration of the Lateral Casimir Force
• The Casimir effect within scattering theory
• Numerical methods for computing Casimir interactions
• Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
• Casimir Effect on the Worldline
• Scalar Casimir effect between Dirichlet spheres or a plate and a sphere
• Halving the Casimir force with conductive oxides
• The Casimir force and the quantum theory of lossy optical cavities
• Strong Casimir force reduction through metallic surface nanostructuring
• Casimir force between partially transmitting mirrors
• Limits on Nonstandard Forces in the Submicrometer Range
• Multiple Scattering Methods in Casimir Calculations
• Casimir Force and In Situ Surface Potential Measurements on Nanomembranes
• The Casimir force on a surface with shallow nanoscale corrugations: Geometry and finite conductivity effects
• Measurement of dispersive forces between evaporated metal surfaces in the range below 100 nm
• Casimir Forces and Boundary Conditions in One Dimension: Attraction, Repulsion, Planck Spectrum, and Entropy
• Resource Letter VWCPF-1: Van der Waals and Casimir-Polder forces
• Unnatural Acts: Unphysical Consequences of Imposing Boundary Conditions on Quantum Fields
• Image method in the calculation of the van der Waals force between an atom and a conducting surface
• Finite size effects and non-additivity in the van der Waals interaction
• The Casimir Energy in a Separable Potential

Cited by in corpus (12)

• The quest for Casimir repulsion between Chern-Simons surfaces
• Equivalence between the Hamiltonian and Langevin noise description of plasmon-polaritons in a dispersive and lossy inhomogeneous medium
• Advancing numerics for the Casimir effect to experimentally relevant aspect ratios
• Surface-modified Wannier-Stark states in a 1D optical lattice
• The Casimir effect for stack of graphenes
• High-accuracy Casimir-Polder force calculations using the Discontinuous Galerkin Time-Domain method
• Accounting for dissipation in the scattering approach to the Casimir energy
• Van der Waals chain: a simple model for Casimir forces in dielectrics
• Amplification phenomena of Casimir force fluctuations on close scatterers coupled via a coherent fermionic fluid
• Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves
• Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu \nu }$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences
• Ultralight dark photon and Casimir effect