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Browsing Physics by Author "Anderson, Paul R."
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Item Open Access Black Hole - Moving Mirror I: An Exact Correspondence(2015) Anderson, Paul R.; Good, Michael R.R.; Evans, Charles R.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 discussedItem Open Access Black Hole - Moving Mirror II: Particle Creation(2016) Good, Michael R.R.; Anderson, Paul R.; Evans, Charles R.There is an exact correspondence between the simplest solution to Einstein's equa- tions describing the formation of a black hole and a particular moving mirror tra- jectory. In both cases the Bogolubov coe cients in 1+1 dimensions are identical and can be computed analytically. Particle creation is investigated by using wave packets. The entire particle creation history is computed, incorporating the early- time non-thermal emission due to the formation of the black hole (or the early-time acceleration of the moving mirror) and the evolution to a Planckian spectrumItem Open Access Mirror reflections of a black hole(Physical Review D - Particles, Fields, Gravitation and Cosmology, 2016-09-12) Good, Michael R. R.; Anderson, Paul R.; Evans, Charles R.An exact correspondence between a black hole and an accelerating mirror is demonstrated. It is shown that for a massless minimally coupled scalar field, the same Bogolubov coefficients connecting the "in" and "out" states occur for a (1+1)-dimensional flat spacetime with a particular perfectly reflecting accelerating boundary trajectory and a (1+1)-dimensional curved spacetime in which a null shell collapses to form a black hole. Generalization of the latter to the (3+1)-dimensional case is discussed. The spectral dynamics is computed in both (1+1)-dimensional spacetimes along with the energy flux in the spacetime with a mirror. It is shown that the approach to equilibrium is monotonic, asymmetric in terms of the rate, and there is a specific time which characterizes the system when it is the most out of equilibrium.Item Open Access Time Dependence of Particle Creation from Accelerating Mirrors(2013-03-28) Good, Michael R.R.; Anderson, Paul R.; Evans, Charles R.Particle production due to a quantized, massless, minimally coupled scalar eld in two-dimensional at spacetime with an accelerating mirror is investigated, with a focus on the time dependence of the process. We analyze rst the classes of trajectories previously investigated by Carlitz and Willey and by Walker and Davies. We then analyze four new classes of trajectories, all of which can be expressed analytically and for which several ancillary properties can be derived analytically. The time dependence is investigated through the use of wave packets for the modes of the quantized eld that are in the out vacuum state. It is shown for most of the trajectories studied that good time resolution of the particle production process can be obtained.