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Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum

Paul M. Alsing·Peter W. Milonni
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Abstract

A detector undergoing uniform acceleration $a$ in a vacuum field responds just as though it were immersed in thermal radiation of temperature $T=\hbar a/2πk c$. A simple, intuitive derivation of this result is given for the case of a scalar field in one spatial dimension. The approach is then extended to treat the case where the field seen by the accelerated observer is a spin-1/2 Dirac field.

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Paul M. Alsing, Peter W. Milonni. 2004-08-27. Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum. https://doi.org/10.1119/1.1761064

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