A distinguished set of modes in an accelerated frame of reference

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We construct a distinguished set of positive and negative energy modes of the Klein-Gordon equation for any Born frame of reference in Minkowski's space-time. Unlike the case of a galilean frame of reference it is unclear whether this set of modes may be an appropriate basis to define the vacuum of a quantized scalar field in an accelerated cavity.
To appear in "Analytical and Numerical Approaches to Relativity: Sources of Gravitational Radiation", ERE 1997, ed J.Stela, UIB, Palma de Mallorca, Spain

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