Europhys. Lett.
Volume 72, Number 5, December 2005
Page(s) 685 - 690
Section General
Published online 28 October 2005
Europhys. Lett., 72 (5), pp. 685-690 (2005)
DOI: 10.1209/epl/i2005-10297-5

Bell's jump process in discrete time

J. Barrett1, M. Leifer1 and R. Tumulka2

1  Perimeter Institute for Theoretical Physics - 31 Caroline Street North, Waterloo Ontario, N2L 2Y5, Canada
2  Mathematisches Institut, Eberhard-Karls-Unversität - Auf der Morgenstelle 10 72076 Tübingen, Germany

received 13 June 2005; accepted in final form 29 September 2005
published online 28 October 2005

The jump process introduced by J. S. Bell in 1986, for defining a quantum field theory without observers, presupposes that space is discrete whereas time is continuous. In this letter, our interest is to find an analogous process in discrete time. We argue that a genuine analog does not exist, but provide examples of processes in discrete time that could be used as a replacement.

02.50.Ga - Markov processes.
03.65.Ta - Foundations of quantum mechanics; measurement theory.

© EDP Sciences 2005