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@article{1389071,
author = {Janyška, Josef and Modugno, Marco},
article_location = {Amsterdam},
article_number = {October},
doi = {http://dx.doi.org/10.1016/j.difgeo.2017.03.021},
keywords = {Covariant classical mechanics; Covariant quantum mechanics; Galileian metric; Phase space; Quantum connection; Quantum potential},
language = {eng},
issn = {0926-2245},
journal = {Differential Geometry and its Applications},
title = {Quantum potential in covariant quantum mechanics},
url = {http://www.sciencedirect.com/science/article/pii/S0926224517300487},
volume = {54},
year = {2017}
}
TY - JOUR
ID - 1389071
AU - Janyška, Josef - Modugno, Marco
PY - 2017
TI - Quantum potential in covariant quantum mechanics
JF - Differential Geometry and its Applications
VL - 54
IS - October
SP - 175-193
EP - 175-193
PB - Elsevier Science
SN - 09262245
KW - Covariant classical mechanics
KW - Covariant quantum mechanics
KW - Galileian metric
KW - Phase space
KW - Quantum connection
KW - Quantum potential
UR - http://www.sciencedirect.com/science/article/pii/S0926224517300487
L2 - http://www.sciencedirect.com/science/article/pii/S0926224517300487
N2 - 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.
ER -
JANYŠKA, Josef and Marco MODUGNO. Quantum potential in covariant quantum mechanics. \textit{Differential Geometry and its Applications}. Amsterdam: Elsevier Science, 2017, vol.~54, October, p.~175-193. ISSN~0926-2245. Available from: https://dx.doi.org/10.1016/j.difgeo.2017.03.021.
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