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A distinguished set of modes in an accelerated frame of reference

1997/11/27 by L. Bel, Lluis Bel, Bel, Lluis
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9711083

To appear in "Analytical and Numerical Approaches to Relativity: Sources of Gravitational Radiation", ERE 1997, ed J.Stela, UIB, Palma de Mallorca, Spain

arxiv created 1997/11/27 · openalex publication_date 1997/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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