The interaction of propagating space-time fluctuations with wave packets

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1983, 1999, Pages 991-1002

  Power, W L ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Atom optics; Non commutative geometry; Quantum fluctuations; Stochastic differential equations

Indexed keywords

EID: 33746384496     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0346     Document Type: Article

References (20)

1. Belavkin, V. P. 1989 A continuous counting observation and posterior quantum dynamics. J. Phys. Lett. A 22, 1109-1114.
2. Belavkin, V. P. & Melsheimer, O. 1996 A stochastic Hamiltonian approach for quantum jumps, spontaneous localizations, and continuous trajectories. Quantum Semiclass. Opt. 8, 167-187.
3. Belavkin, V. P. & Staszewski, P. 1992 Nondemolition observation of a free quantum particle. Phys. Rev. A 45, 1347-1356.
4. Connes, A. 1995 Non-commutative geometry and reality. J. Math. Phys. 36, 6194-6231.
5. Diôsi, L. 1987 Universal master equation for the gravitational violation of quantum mechanics. Phys. Rev. A 40, 377-381.
6. Diôsi, L. 1989 Models for universal reduction of macroscopic quantum fluctuations. Phys. Rev. A 40, 1165-1174.
7. Einstein, A. 1956 Theory of the Brownian movement. New York: Dover.
8. Ghirardi, G. C., Rimini, A. & Weber, T. 1986 Phys. Rev. D 34, 470-491.
9. Ghirardi, R., Grassi, G.-C. & Rimini, A. 1990 A continuous spontaneous reduction model involving gravity. Phys. Rev. A 42, 1057-1064.
10. Hudson, R. L. & Parthasarathy, K. R. 1984 Quantum Itô's formula and stochastic evolution. Commun. Math. Phys. 93, 301-323.
11. Kârolyhâzy, F. 1966 Gravitation and quantum mechanics of macroscopic objects. Nuovo dm. A 42, 390-402.
12. Kasevich, M. & Chu, S. 1992 Measurement of the gravitational acceleration of an atom with a light-pulse atom interferometer. Appi. Phys. B 54, 321-332.
13. Nelson, E. 1967 Dynamical theories of Brownian motion. Princeton University Press.
14. Pais, M. 1965 Twentieth century physics (ed. L. M. Brown, A. Pais &: B. Pippard), p. 43. Bristol: Institute of Physics.
15. Penrose, R. 1996 On gravity's role in state vector reduction. Gen. Rel. Grav. 28, 581-600.
16. Percival, I. C. 1994 Primary state diffusion. Proc. R. Soc. Lond. A 447, 189-209.
17. Percival, I. C. 1995 Quantum spacetime fluctuations and primary state diffusion. Proc. R. Soc. Land. A 451, 503-513.
18. Percival, I. C. 1998 Quantum state diffusion. Cambridge University Press.
19. Percival, I. C. & Strunz, W. T. 1997 Detection of spacetime fluctuations by a model matter interferometer. Proc. R. Soc. Land. A 453, 431-446.
20. Stratonovich, R. L. 1989 Some Markov methods in the theory of stochastic processes in nonlinear dynamical systems. In Noise in nonlinear dynamical systems (ed. F. Moss & P. V. E. McClintock), vol. 1, pp. 16-71. Cambridge University Press.