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Quantum Simulation

Klein Paradox in the Pilot Wave Interpretation

arXiv
Authors: John F. Dodaro

Year

2013

Paper ID

31583

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

The de Broglie-Bohm pilot wave interpretation of quantum mechanics is shown to provide a consistent explanation for a single relativistic particle (more accurately, a single particle process since pair production is addressed). This is accomplished by incorporating the Feynman-Stueckelberg interpretation of anti-matter. The lack of conserved probability and existence of negative energy solutions is studied through this interpretation. We discuss the resolution of Klein's original paradox through the pilot wave interpretation, and similarly analyze the potential barrier problem. Simulations are presented for a wave packet incident on potential steps & barriers of various heights.

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  • The de Broglie-Bohm pilot wave interpretation of quantum mechanics is shown to provide a consistent explanation for a single relativistic particle (more accurately, a single...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.1377 [2] arXiv https://arxiv.org/abs/1312.1377 [3] Publisher https://arxiv.org/abs/1312.1377

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