Transit time of a freely falling quantum particle in a background gravitational ﬁeld
|Abstract||Using a model quantum clock, I evaluate an expression for the time of a nonrelativistic quantum particle to transit a piecewise geodesic path in a background gravitational ﬁeld with small spacetime curvature (gravity gradient), in the case that the apparatus is in free fall. This calculation complements and extends an earlier one (Davies 2004) in which the apparatus is ﬁxed to the surface of the Earth. The result conﬁrms that, for particle velocities not too low, the quantum and classical transit times coincide, in conformity with the principle of equivalence. I also calculate the quantum corrections to the transit time when the de Broglie wavelengths are long enough to probe the spacetime curvature. The results are compared with the calculation of Chiao and Speliotopoulos (2003), who propose an experiment to measure the foregoing effects.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|External links||This entry has no external links. Add one.|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Pedro L. Garrido, Sheldon Goldstein, Jani Lukkarinen & Roderich Tumulka, Paradoxical Reflection in Quantum Mechanics.
Jonathan Bain (2010). Relativity and Quantum Field Theory. In V. Petkov (ed.), Space, Time and Spacetime.
Chuang Liu (1993). The Arrow of Time in Quantum Gravity. Philosophy of Science 60 (4):619-637.
Gordon Belot & John Earman (2001). Pre-Socratic Quantum Gravity. In Craig Callender & Nick Huggett (eds.), Physics Meets Philosophy at the Planck Scale. Cambridge University Press.
Jeremy Butterfield & Chris Isham (2001). Spacetime and the Philosophical Challenge of Quantum Gravity. In Physics Meets Philosophy at the Panck Scale. Cambridge University Press.
Added to index2010-12-22
Total downloads34 ( #40,539 of 722,826 )
Recent downloads (6 months)30 ( #4,084 of 722,826 )
How can I increase my downloads?