### Quantum radiation in a one-dimensional cavity with
moving boundaries

M. Razavy and J. Terning

Theoretical Physics Institute, Department of Physics,

University of Alberta, Edmonton, Alberta, Canada T6G
2J1

Published in Phys. Rev. D31 (1985) 307-313

(Received 6 August 1984)

The quantum theory of a massless free field
in a one-dimensional cavity bounded by moving mirrors
is formulated in terms of an effective Hamiltonian
density which is defined over a fixed length. This
effective Hamiltonian is obtained from the original
Hamiltonian by the application of a unitary time-dependent
transformation with the property that it preserves
the reciprocal symmetry of the free field. Using this
formulation, the number and the spectrum of the excitations
created by the action of the moving mirror on the zero-point
energy of the cavity is found in first-order perturbation
theory.

PHYSICAL REVIEW D VOLUME 31, NUMBER 2 15 JANUARY 1985

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