On the Implementability of the Bogoliubov Transformation in Spatially Homogeneous and Isotropic Universes

Physics

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Scientific paper

For a canonically quantized scalar field in a general spatially
homogeneous and isotropic universe we show that the coupling of the
field with the background geometry must be conformal in order that the
Bogoliubov transformation between two Hamiltonian diagonalizing Fock
representations at different times is implementable.

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