Abstract
In this work we investigate the quantum theory of scalar fields
propagating in a D-dimensional de Sitter spacetime. The method of
dynamic invariants is used to obtain the solution of the time-dependent
Schrodinger equation. The quantum behavior of the scalar field in this
background is analyzed, and the results generalize previous ones found
in the literature. We point that the Bunch-Davies thermal bath depends
on the choice of D and the conformal parameter xi. This is important in
extra-dimension physics, as in the Randall-Sundrum model. Copyright (C)
EPLA, 2012
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