Three-dimensional representation of the many-body quantum state

Using the trajectory conception of state, we give a simple demonstration that the quantum state of a many-body system may be expressed as a set of states in three-dimensional space, each associated with a different particle. It follows that the many-body wavefunction may be derived from a set of wav...

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Detalles Bibliográficos
Autor principal: Holland, Peter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6133102/
https://www.ncbi.nlm.nih.gov/pubmed/30178133
http://dx.doi.org/10.1007/s00894-018-3804-7
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author Holland, Peter
author_facet Holland, Peter
author_sort Holland, Peter
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description Using the trajectory conception of state, we give a simple demonstration that the quantum state of a many-body system may be expressed as a set of states in three-dimensional space, each associated with a different particle. It follows that the many-body wavefunction may be derived from a set of waves in 3-space. Entanglement is represented in the trajectory picture by the mutual dependence of the 3-states on the trajectory labels.
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spelling pubmed-61331022018-09-18 Three-dimensional representation of the many-body quantum state Holland, Peter J Mol Model Original Paper Using the trajectory conception of state, we give a simple demonstration that the quantum state of a many-body system may be expressed as a set of states in three-dimensional space, each associated with a different particle. It follows that the many-body wavefunction may be derived from a set of waves in 3-space. Entanglement is represented in the trajectory picture by the mutual dependence of the 3-states on the trajectory labels. Springer Berlin Heidelberg 2018-09-03 2018 /pmc/articles/PMC6133102/ /pubmed/30178133 http://dx.doi.org/10.1007/s00894-018-3804-7 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Original Paper
Holland, Peter
Three-dimensional representation of the many-body quantum state
title Three-dimensional representation of the many-body quantum state
title_full Three-dimensional representation of the many-body quantum state
title_fullStr Three-dimensional representation of the many-body quantum state
title_full_unstemmed Three-dimensional representation of the many-body quantum state
title_short Three-dimensional representation of the many-body quantum state
title_sort three-dimensional representation of the many-body quantum state
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6133102/
https://www.ncbi.nlm.nih.gov/pubmed/30178133
http://dx.doi.org/10.1007/s00894-018-3804-7
work_keys_str_mv AT hollandpeter threedimensionalrepresentationofthemanybodyquantumstate

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