An exact correspondence is shown between a new moving mirror trajectory in
(1+1)D and a spacetime in (1+1)D in which a black hole forms from the collapse of
a null shell. It is shown that the Bogolubov coe cients between the \in" and \out"
states are identical and the exact Bogolubov coe cients are displayed. Generaliza-
tion to the (3+1)D black hole case is discussed
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