Particle Creation by a Moving Boundary with Robin Boundary Condition

Details Particle Creation by a Moving Boundary with Robin Boundary Condition Particle Creation by a Moving Boundary with Robin Boundary Condition

2006-05-22

arxiv.org/abs/hep-th/0605221v1

J.Phys.A39:11325-11334,2006

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0305-4470/39/36/013

We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic moving boundary. We derive a Bogoliubov transformation between input and output bosonic field operators, which allows us to calculate the spectral distribution of created particles. The cases of Dirichlet and Neumann BC may be obtained from our result as limiting cases. These two limits yield the same spectrum, which turns out to be an upper bound for the spectra derived for Robin BC. We show that the particle emission effect can be considerably reduced (with respect to the Dirichlet/Neumann case) by selecting a particular value for the oscillation frequency of the boundary position.

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