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On the pilot-field representation of quantum transport theory

John R. Barker

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Abstract

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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What this paper is about

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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Available abstract

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

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