Quantum evolution as a parallel transport

DOI10.1063/1.525537zbMath0514.58026OpenAlexW2029543081MaRDI QIDQ3660570

José F. Cariñena, Miguel Paramio, Manuel Asorey

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525537

zbMATH Keywords

gauge fieldsAharonov-Bohm effectnon-relativistic particlegeneralized connectionstime evolution postulatetime- independent pure magnetic fields

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometric quantization (53D50) Connections (general theory) (53C05)

Related Items (10)

Effects of a scalar scaling field on quantum mechanics ⋮ A geometric approach to time evolution operators of Lie quantum systems ⋮ Diachronic quantum action principle ⋮ FIBRE BUNDLE FORMULATION OF NONRELATIVISTIC QUANTUM MECHANICS V: INTERPRETATION, SUMMARY AND DISCUSSION ⋮ Time reversal of quantum experiments ⋮ Geometrical treatment of nonholonomic phase in quantum mechanics and applications ⋮ \({\mathfrak D}\)-differentiation in Hilbert space and the structure of quantum mechanics ⋮ Covariant brackets for particles and fields ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS ⋮ Principal bundle structure of quantum adiabatic dynamics with a Berry phase which does not commute with the dynamical phase

Cites Work

• Non-abelian Stokes formula
• Integration of the equation of evolution in a Banach space
• Internal Holonomy Groups of Yang-Mills Fields
• Superselection Principle and Pure States of n-Identical Particles

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