  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 coefficients between the "in"
and "out" states are identical and the exact Bogolubov coefficients are
displayed. Generalization to the (3+1)D black hole case is discussed.
