On the pilot-field representation of quantum transport theory
John R. Barker
Abstract
Open-access reader
John R. Barker
Abstract
Open-access reader
A critique is given of the Bohm-de Broglie pilot-wave representation of quantum mechanics as applied to quantum transport theory. It is argued that particle trajectories can exist only if they are stochastic. An extension of the Bohm-de Broglie theory is outlined which generates the conventional picture from an ensemble-averaged coupled particle-stochastic field. Consequences for tunnel time estimates and possible experimental verification with single-electronic devices are discussed.
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A critique is given of the Bohm-de Broglie pilot-wave representation of quantum mechanics as applied to quantum transport theory. It is argued that particle trajectories can exist only if they are stochastic. An extension of the Bohm-de Broglie theory is outlined which generates the conventional picture from an ensemble-averaged coupled particle-stochastic field. Consequences for tunnel time estimates and possible experimental verification with single-electronic devices are discussed.
Key concepts: Matter wave, Representation (politics), Physics, De Broglie–Bohm theory, Quantum mechanics, Quantum, Field (mathematics), Statistical physics