Exact solution for the energy density inside a one-dimensional non-static cavity with an arbitrary initial field state

Details Exact solution for the energy density inside a one-dimensional non-static cavity with an arbitrary initial field state Exact solution for the energy density inside a one-dimensional non-static cavity with an arbitrary initial field state

2009-03-06

arxiv.org/abs/0903.1305v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 8 figures

Scientific paper

We study the exact solution for the energy density of a real massless scalar field in a two-dimensional spacetime, inside a non-static cavity with an arbitrary initial field state, taking into account the Neumann and Dirichlet boundary conditions. This work generalizes the exact solution proposed by Cole and Schieve in the context of the Dirichlet boundary condition and vacuum as the initial state. We investigate diagonal states, examining the vacuum and thermal field as particular cases. We also study non-diagonal initial field states, taking as examples the coherent and Schrodinger cat states.

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