Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Quantum Stability of Hamiltonian Evolution on a Finsler Manifold

Version 1 : Received: 21 May 2024 / Approved: 22 May 2024 / Online: 23 May 2024 (02:55:42 CEST)

How to cite: ELGRESSY, G.; HORWITZ, L. Quantum Stability of Hamiltonian Evolution on a Finsler Manifold. Preprints 2024, 2024051475. https://doi.org/10.20944/preprints202405.1475.v1 ELGRESSY, G.; HORWITZ, L. Quantum Stability of Hamiltonian Evolution on a Finsler Manifold. Preprints 2024, 2024051475. https://doi.org/10.20944/preprints202405.1475.v1

Abstract

This paper is a study of a generalization of the quantum Riemannian Hamiltonian evolution, previously analyzed by us in our work [6], in the geometrization of quantum mechanical evolution in a Finsler geometry. We find results with dynamical equations governing the evolution of the trajectories defined by the expectation values of position. The analysis appears to provide an underlying geometry described by a geodesic equation, with connection form with a second term which is an essentially quantum effect. These dynamical equations provide a new geometric approach to the quantum evolution where we suggest a definition for "local instability" in the quantum theory.

Keywords

geometrization of quantum mechanical evolution; Finsler geometry; geodesic equation; quantum effect; local instability

Subject

Physical Sciences, Mathematical Physics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.