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Title: de Broglie-Bohm guidance equations for arbitrary Hamiltonians
Authors: Struyve, Ward ×
Valentini, Antony #
Issue Date: Jan-2009
Publisher: Iop publishing ltd
Series Title: Journal of physics a-mathematical and theoretical vol:42 issue:3 pages:1-22
Article number: 035301
Abstract: In a pilot-wave theory, an individual closed system is described by a wavefunction Psi(q) and configuration q. The evolution of the wavefunction and configuration are respectively determined by the Schrodinger and guidance equations. The guidance equation states that the velocity field for the configuration is given by the quantum current divided by the density vertical bar Psi(q)vertical bar(2). We present the currents and associated guidance equations for any Hamiltonian given by a differential operator. These are derived directly from the Schrodinger equation, and also as Noether currents arising from a global phase symmetry associated with the wavefunction in configuration space.
ISSN: 1751-8113
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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