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Journal
2012 | 10 | 1 | 51-60
Article title

De Sitter spacetime as a momentum measuring apparatus

Content
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Languages of publication
EN
Abstracts
EN
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.
Publisher

Journal
Year
Volume
10
Issue
1
Pages
51-60
Physical description
Dates
published
1 - 2 - 2012
online
3 - 12 - 2011
Contributors
  • Faculty of Physics, West University of Timişoara, V. Pârvan 4, 300223, Timişoara, Romania, nicolaevici@email.ro
References
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  • [3] C. E. F. Lopes, I. A. Pedrosa, C. Furtado, A. M. Carvalho, J. Math. Phys. 50, 08351 (2009) http://dx.doi.org/10.1063/1.3193685[Crossref]
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  • [5] T. S. Bunch, P. C. W. Davies, Proc. R. Soc. Lon. Ser-A 360, 117 (1978) http://dx.doi.org/10.1098/rspa.1978.0060[Crossref]
  • [6] D. H. Lyth, D. Roberts, M. Smith, Phys. Rev. D 57, 7120 (1998) http://dx.doi.org/10.1103/PhysRevD.57.7120[Crossref]
  • [7] I. I. Cotăescu, Phys. Rev. D 65, 084008 (2002) http://dx.doi.org/10.1103/PhysRevD.65.084008[Crossref]
  • [8] J. F. Koksma, T. Prokopec, Classical Quant. Grav. 26, 125003 (2009) http://dx.doi.org/10.1088/0264-9381/26/12/125003[Crossref]
  • [9] M. Abramowitz, I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables (Dover Publications, New York, 1972)
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0077-5
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