Nonstationary Casimir Effect and analytical solutions for quantum fields in cavities with moving boundaries

Abstract

This is a review of publications on classical and quantum electrodynamics in cavities with moving boundaries (in the quantum case this subject is labeled frequently as "nonstationary Casimir effect" or "dynamical Casimir effect"), from 1921 to October of 2000, with an emphasis on analytical results related to cavities with resonantly oscillating boundaries.

64 pages, 333 references, no figures, LaTex, to appear in the volume: Contemporary Optics and Electrodynamics, part 1. Advances in Chemical Physics, vol. 114, part 1 (M. Evans, ed.), Wiley, New York, 2001

References in corpus (17)

• Preparation of Nonclassical States in Cavities with a Moving Mirror
• Cooling of a mirror by radiation pressure
• Waves in Open Systems: Eigenfunction Expansions
• Motion Induced Radiation from a Vibrating Cavity
• Theory of quantum radiation observed as sonoluminescence
• Gauge Theories with Cayley-Klein $SO(2;j)$ and $SO(3;j)$ Gauge Groups
• Sonoluminescence as quantum vacuum radiation
• Photon distribution for one mode mixed light with generic gaussian Wigner function
• Trembling cavities in the canonical approach
• Creation of photons in an oscillating cavity with two moving mirrors
• Motional Casimir force
• Quantum noise in the position measurement of a cavity mirror undergoing Brownian motion
• Renormalization Group Approach to the Dynamical Casimir Effect
• Interference phenomena in the photon production between two oscillating walls
• Theory of Circle Maps and the Problem of One-Dimensional Optical Resonator with a Periodically Moving Wall
• Motion-Induced Radiation from a Dynamically Deforming Mirror
• Quantum photon emission from a moving mirror in the nonperturbative regime

Cited by in corpus (9)

• Fluctuations, dissipation and the dynamical Casimir effect
• An analogue model for controllable Casimir radiation in a nonlinear cavity with amplitude-modulated pumping: Generation and quantum statistical properties
• Numerical investigation of photon creation in a three-dimensional resonantly vibrating cavity: TE-modes
• Dynamical Casimir effect via four- and five-photon transitions using a strongly detuned atom
• 1- and 3-photon dynamical Casimir effects using nonstationary cyclic qutrit
• Dynamical Casimir effect via modulated Kerr or higher nonlinearities
• On functional equations leading to exact solutions for standing internal waves
• Explosive particle creation by instantaneous change of boundary condition
• Generation of photons from vacuum in cavity via time-modulation of a qubit invisible to the field