Particle creation by moving spherical shell in the dynamical Casimir effect

TL;DR

This paper investigates how a moving spherical shell can generate massless scalar particles from the quantum vacuum, deriving equations for particle creation and evaluating particle numbers in specific cases.

Contribution

It introduces a framework for calculating particle creation by a dynamically moving spherical shell, including equations for the instantaneous basis expansion coefficients.

Findings

Derived equations for particle creation with a moving spherical shell

Explicit evaluation of particle numbers in the adiabatic approximation

Provides insights into the dynamical Casimir effect for spherical geometries

Abstract

The creation of massless scalar particles from the quantum vacuum by spherical shell with time varying radius is studied. In the general case of motion the equations are derived for the instantaneous basis expansion coefficients. The examples are considered when the mean number of particles can be explicitly evaluated in the adiabatic approximation.