Ballistic transport: A view from the quantum theory of motion

TL;DR

This paper explores ballistic electron transport in quantum wires using Bohm's interpretation, highlighting classical trajectories and the role of quantum vortices in the quantum motion of particles.

Contribution

It introduces a quantum-theoretic perspective on ballistic transport, emphasizing particle orbits and vortices within Bohm's interpretation, which is novel in this context.

Findings

Classical bouncing trajectories emerge at large wave numbers.

Quantum vortices are crucial in understanding electron motion.

Bohm's interpretation provides new insights into quantum transport phenomena.

Abstract

Ballistic transport of electrons through a quantum wire with a constriction is studied in terms of Bohm's interpretation of quantum mechanics, in which the concept of a particle orbit is permitted. The classical bouncing ball trajectories, which justify the name ``ballistic transport'', are established in the large wave number limit. The formation and the vital role of quantum vortices is investigated.