Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
51-60
Opis fizyczny
Daty
wydano
2012-02-01
online
2011-12-03
Twórcy
autor
- Faculty of Physics, West University of Timişoara, V. Pârvan 4, 300223, Timişoara, Romania, nicolaevici@email.ro
Bibliografia
- [1] S. W. Hawking, G. F. R Ellis, The large scale structure of space-time (Cambridge University Press, Cambridge, 1973)
- [2] I. H. Redmount, Phys. Rev. D 73, 044032 (2006) http://dx.doi.org/10.1103/PhysRevD.73.044032[Crossref]
- [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]
- [4] E. Schrodinger, Physica 6, 899 (1939) http://dx.doi.org/10.1016/S0031-8914(39)90091-1[Crossref]
- [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)
- [10] I. S. Gradshteyn, I. M. Ryzhik, Tables of integrals, series, and products (Academic Press, New York, 2007)
- [11] N. D. Birrell, P. C. W. Davies, Quantum fields in curved space (Cambridge University Press, Cambridge, 1982)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0077-5