Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum
Quantum Physics
2009-11-10 v2 General Relativity and Quantum Cosmology
Abstract
A detector undergoing uniform acceleration in a vacuum field responds just as though it were immersed in thermal radiation of temperature . 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.
Cite
@article{arxiv.quant-ph/0401170,
title = {Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum},
author = {Paul M. Alsing and Peter W. Milonni},
journal= {arXiv preprint arXiv:quant-ph/0401170},
year = {2009}
}
Comments
11 pages, no figures, (written in REVTEX4). Submitted to Am. J. Phys, 26Jan04. - Accepted Am.J.Phys (to appear Nov 2004). 15 pages, fixed confusing typo in Eq.(8), expanded references citng related previous works, discussion of parameter domain of integrals used, and relationship of Minkowski to Rindler vacuum