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Springer eBooks

A trajectory description of quantum processes : a Bohmian perspective

Ángel S. Sanz, Salvador Miret-Artés

Published Jan 1, 2012• 13 citations
Publisher
DOI
10.1007/978-3-642-18092-7

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We investigate high-order-harmonic generation from a Bohmian-mechanical perspective and find that the innermost part of the core, represented by a single Bohmian trajectory, leads to the main contributions to the high-harmonic spectra. Using time-frequency analysis, we associate this central Bohmian trajectory to an ensemble of unbound classical trajectories leaving and returning to the core, in agreement with the three-step model. In the Bohmian scenario, this physical picture builds up nonlocally near the core via the quantum mechanical phase of the wave function. This implies that the flow of the wave function far from the core alters the central Bohmian trajectory. We also show how this phase degrades in time for the peripheral Bohmian trajectories as they leave the core region.
Quoting James Cushing (1994): '... most will never have heard of Bohm's theory. Those who have are certain it must be wrong, although they are not sure exactly why...Those few who still remain to listen to a description of Bohm's theory are usually surprised when they learn that they can, if they wish, consistently believe in actual particle trajectories in a space-time background.'In this talk we present the main features of the de Broglie-Bohm quantum mechanics from a perspective where it could provide a path to new physics, where the orthodox approach to quantum mechanics would be an effective description of a more fundamental underlying theory.