De Sitter spacetime as a momentum measuring apparatus |
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Authors: | Email author" target="_blank">Nistor?NicolaeviciEmail author |
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Institution: | 1.Faculty of Physics,West University of Timi?oara,Timi?oara,Romania |
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Abstract: | We discuss the evolution of a quantum wave packet in the expanding de Sitter spacetime using the plane wave solutions of the
Dirac equation. We concentrate on the case of large negative times when the packet approaches the event horizon and confirm
that the evolution accords with that expected from the classical trajectories. We point out that in certain conditions the
packet can split into two components that become localized at different parts of the horizon and that this effect can be seen,
in an idealized sense, as a measuring process for the momentum of the particle, in direct analogy with the measurement of
spin in a Stern-Gerlach experiment. |
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Keywords: | |
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