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School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
6-18-2019
Abstract
A geometric approach to quantum mechanics which is formulated in terms of Finsler geometry is developed. It is shown that quantum mechanics can be formulated in terms of Finsler configuration space trajectories which obey Newton-like evolution but in the presence of an additional kind of potential. This additional quantum potential which was obtained first by Bohm has the consequence of contributing to the forces driving the system. This geometric picture accounts for many aspects of quantum dynamics and leads to a more natural interpretation. It is found for example that dynamics can be accounted for by incorporating quantum effects into the geometry of space-time.
Recommended Citation
Paul Bracken 2019 J. Phys. Commun. 3 065006
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Publication Title
Journal of Physics Communications
DOI
10.1088/2399-6528/ab2820
ORCID
0000-0003-1409-7272
Comments
© 2019 The Author(s). Published by IOP Publishing Ltd