Fibre bundle formulation of nonrelativistic quantum mechanics: I. Introduction. The evolution transport

DOI10.1088/0305-4470/34/23/308zbMath0985.81045arXivquant-ph/9803084OpenAlexW3100513568MaRDI QIDQ2755765

Bozhidar Z. Iliev

Publication date: 12 November 2001

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9803084

zbMATH Keywords

Hilbert bundle of stateslifting of pathssections along paths

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Applications of global differential geometry to the sciences (53C80) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (6)

On tangent geometry and generalised continuum with defects ⋮ FIBRE BUNDLE FORMULATION OF NONRELATIVISTIC QUANTUM MECHANICS IV: MIXED STATES AND EVOLUTION TRANSPORT'S CURVATURE ⋮ Hilbert bundles as quantum-classical continua ⋮ \(\mathfrak{D}\)-differentiation in Hilbert space and the structure of quantum mechanics. II: Accelerated observers and fictitious forces ⋮ \({\mathfrak D}\)-differentiation in Hilbert space and the structure of quantum mechanics ⋮ CONNECTIONS, PARALLEL TRANSPORTS AND TRANSPORTS ALONG PATHS

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