Sonoluminescence as a QED vacuum effect. II: Finite Volume Effects

Abstract

In a companion paper [quant-ph/9904013] we have investigated several variations of Schwinger's proposed mechanism for sonoluminescence. We demonstrated that any realistic version of Schwinger's mechanism must depend on extremely rapid (femtosecond) changes in refractive index, and discussed ways in which this might be physically plausible. To keep that discussion tractable, the technical computations in that paper were limited to the case of a homogeneous dielectric medium. In this paper we investigate the additional complications introduced by finite-volume effects. The basic physical scenario remains the same, but we now deal with finite spherical bubbles, and so must decompose the electromagnetic field into Spherical Harmonics and Bessel functions. We demonstrate how to set up the formalism for calculating Bogolubov coefficients in the sudden approximation, and show that we qualitatively retain the results previously obtained using the homogeneous-dielectric (infinite volume) approximation.

23 pages, LaTeX 209, ReV-TeX 3.2, five figures

References in corpus (4)

• Gauge Theories with Cayley-Klein $SO(2;j)$ and $SO(3;j)$ Gauge Groups
• Sonoluminescence as a QED vacuum effect. I: The Physical Scenario
• Sonoluminescence: Two-photon correlations as a test of thermality
• Sonoluminescence and the QED vacuum

Cited by in corpus (13)

• The Casimir effect: Recent controversies and progress
• Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
• Bounding the greybody factors for Schwarzschild black holes
• Cosmological particle production in emergent rainbow spacetimes
• Sonoluminescence as a QED vacuum effect. I: The Physical Scenario
• Bounding the Bogoliubov coefficients
• Quantum vacuum radiation in optical glass
• Analytic bounds on transmission probabilities
• Transmission probabilities and the Miller-Good transformation
• Sonoluminescence: Two-photon correlations as a test of thermality
• Casimir energy for a scalar field with a frequency dependent boundary condition
• Transition Radiation and the Origin of Sonoluminescence
• The covariant electromagnetic Casimir effect for real conducting spherical shells