Fibre bundle formulation of nonrelativistic quantum mechanics. 0. Preliminary considerations: Quantum mechanics from a geometric-observer's viewpoint

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dc.creatorIliev, Bozhidar Z.
dc.date1998-03-29
dc.date.accessioned2026-07-07T10:55:04Z
dc.date.available2026-07-07T10:55:04Z
dc.descriptionWe propose a version of the non-relativistic quantum mechanics in which the pure states of a quantum system are described as sections of a Hilbert (generally infinitely-dimensional) fibre bundle over the space-time. There evolution is governed via (a kind of) a parallel transport in this bundle. Some problems concerning observables are considered. There are derived the equations of motion for the state sections and observables. We show that up to a constant the matrix of the coefficients of the evolution operator (transport) coincides with the matrix of the Hamiltonian of the investigated quantum system.
dc.description15 standard LaTeX 2e (11pt, A4) pages. The packages AMS-LaTeX and amsfonts are required
dc.identifierhttps://arxiv.org/abs/quant-ph/9803083
dc.identifierhttp://arxiv.org/abs/quant-ph/9803083
dc.identifierJ.Phys.A31:1297-1305,1998
dc.identifierdoi:10.1088/0305-4470/31/4/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186000
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleFibre bundle formulation of nonrelativistic quantum mechanics. 0. Preliminary considerations: Quantum mechanics from a geometric-observer's viewpoint
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