Publication details

Quantum potential in covariant quantum mechanics

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Year of publication 2017
Type Article in Periodical
Magazine / Source Differential Geometry and its Applications
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Covariant classical mechanics; Covariant quantum mechanics; Galileian metric; Phase space; Quantum connection; Quantum potential
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.
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