© 2016 Elsevier Inc. The experimental results of Kocsis et al., Mahler et al. and the proposed experiments of Morley et al. show that it is possible to construct “trajectories” in interference regions in a two-slit interferometer. These results call for a theoretical re-appraisal of the notion of a “quantum trajectory” first introduced by Dirac and in the present paper we re-examine this notion from the Bohm perspective based on Hamiltonian flows. In particular, we examine the short-time propagator and the role that the quantum potential plays in determining the form of these trajectories. These trajectories differ from those produced in a typical particle tracker and the key to this difference lies in the active suppression of the quantum potential necessary to produce Mott-type trajectories. We show, using a rigorous mathematical argument, how the active suppression of this potential arises. Finally we discuss in detail how this suppression also accounts for the quantum Zeno effect.
|Number of pages||22|
|Journal||Annals of Physics|
|State||Published - 1 Nov 2016|
Bibliographical noteFunding Information:
Maurice de Gosson has been supported by a research grant from the Austrian Research Agency FWF (Projektnummer P27773–N13). Basil J. Hiley would like to thank the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust for their support. Eliahu Cohen was supported by ERC AdG NLST .
- Quantum potential
- Quantum trajectory
- Zeno effect