De Broglie-Bohm Guidance Equations for Arbitrary Hamiltonians

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dc.creatorStruyve, Ward
dc.creatorValentini, Antony
dc.date2008-08-03
dc.date2008-12-27
dc.date.accessioned2026-07-07T12:22:06Z
dc.date.available2026-07-07T12:22:06Z
dc.descriptionIn a pilot-wave theory, an individual closed system is described by a wavefunction $ψ(q)$ and configuration $q$. The evolution of the wavefunction and configuration are respectively determined by the Schrödinger and guidance equations. The guidance equation states that the velocity field for the configuration is given by the quantum current divided by the density $|ψ(q)|^2$. We present the currents and associated guidance equations for any Hamiltonian given by a differential operator. These are derived directly from the Schrödinger equation, and also as Noether currents arising from a global phase symmetry associated with the wavefunction in configuration space.
dc.description22 pages, no figures, LaTex; v3 minor corrections; v2 minor corrections
dc.identifierhttps://arxiv.org/abs/0808.0290
dc.identifierhttp://arxiv.org/abs/0808.0290
dc.identifierJ. Phys. A 42, 035301 (2009)
dc.identifierdoi:10.1088/1751-8113/42/3/035301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213541
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleDe Broglie-Bohm Guidance Equations for Arbitrary Hamiltonians
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