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Quantum potential in covariant quantum mechanics.
- Source :
-
Differential Geometry & its Applications . Oct2017 Part A, Vol. 54, p175-193. 19p. - Publication Year :
- 2017
-
Abstract
- We discuss several features of the classical quantum potential appearing in Covariant Quantum Mechanics. In particular, we compare the “observed potential” A [ K , G , o ] of the joined spacetime connection K with the potential A ↑ of the cosymplectic phase 2-form Ω [ K , G ] and with the potential A ↑ of the upper quantum connection Ч ↑ . Moreover, we discuss the distinguished observer o [ Ψ ] and the distinguished timelike potential A [ Ψ ] associated with a non-vanishing quantum section Ψ. We show that the above objects play a natural role in the context of the kinetic quantum momentum Q [ Ψ ] , of the quantum probability current J [ Ψ ] , of the Schrödinger operator S [ Ψ ] and of the classical fluid associated with a non-vanishing quantum section Ψ. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09262245
- Volume :
- 54
- Database :
- Academic Search Index
- Journal :
- Differential Geometry & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 125056164
- Full Text :
- https://doi.org/10.1016/j.difgeo.2017.03.021