Black Hole Information and Thermodynamics pp 59-62 | Cite as
Unruh and Hawking Effects
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Abstract
We express a quantum scalar field in Minkowski and Rindler space as
$$ \hat{\phi } = \int _0^{\infty } \frac{d\omega }{(2\pi )^{1/2}} \frac{1}{\sqrt{2\omega }} \left[ e^{-i\omega u } \hat{a}^-_{\omega } +e^{i\omega u } \hat{a}^+_{\omega } \right] = \int _0^{\infty } \frac{d\Omega }{(2\pi )^{1/2}} \frac{1}{\sqrt{2\Omega }} \left[ e^{-i\Omega \tilde{u} } \hat{b}^-_{\Omega } +e^{i\omega \tilde{u} } \hat{b}^+_{\Omega } \right] $$
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