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.

Comments

© 2019 The Author(s). Published by IOP Publishing Ltd

Creative Commons License

Creative Commons Attribution 3.0 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

Included in

Mathematics Commons

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