Abstract
In this work we investigate the quantum theory of scalar fields propagating in a dimensional de Sitter spacetime. The method of dynamic invariants is used to obtain the solution of the time-dependent Schrödinger 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 and the conformal parameter . This is important in extra dimension physics, as in the Randall-Sundrum model.
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