Friday, June 26, 2015

electromagnetism - Electromagnetic Unruh effect?



The Unruh temperature is given by $$T=\frac{\hbar\ a}{2\pi c k_B}.$$


If we have an electron field with charge $e$ and mass $m_e$ acted on by an electromagnetic field $\vec{E}$ then very naively maybe we can write a Newton's 2nd law equation


$$\vec{E}\ e=m_e\ \vec{a}.$$


Substituting the magnitude of the acceleration $a$ into the Unruh formula we get


$$T=\frac{\hbar}{2\pi c k_B}\frac{E\ e}{m_e}.$$


If we take the electric field strength $E=1$ MV/m then the Unruh temperature is


$$T\approx 10^{-2}\ \hbox{K}.$$


Perhaps this temperature could be measured?




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