Quantum potential in covariant quantum mechanics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00094921" target="_blank" >RIV/00216224:14310/17:00094921 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0926224517300487" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0926224517300487</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.difgeo.2017.03.021" target="_blank" >10.1016/j.difgeo.2017.03.021</a>

Result language
angličtina
Original language name
Quantum potential in covariant quantum mechanics
Original language description
We discuss several features of the classical quantum potential appearing in Covariant Quantum Mechanics. In particular, we compare the “observed potential” of the joined spacetime connection with the potential of the cosymplectic phase 2-form and with the potential of the upper quantum connection. Moreover, we discuss the distinguished observer and the distinguished timelike potential associated with a non-vanishing quantum section of the quantum bundle. We show that the above objects play a natural role in the context of the kinetic quantum momentum, of the quantum probability current, of the Schrödinger operator and of the classical fluid associated with a non-vanishing quantum section.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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