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

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

2004-01-27

arxiv.org/abs/quant-ph/0401170v2

Am.J.Phys. 72 (2004) 1524-1529

Physics

Quantum Physics

11 pages, no figures, (written in REVTEX4). Submitted to Am. J. Phys, 26Jan04. - Accepted Am.J.Phys (to appear Nov 2004). 15 p

Scientific paper

10.1119/1.1761064

A detector undergoing uniform acceleration $a$ in a vacuum field responds just as though it were immersed in thermal radiation of temperature $T=\hbar a/2\pi k c$. 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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