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Semiheaps and Ternary Algebras in Quantum Mechanics Revisited

Andrew Bruce Orcid Logo

Universe, Volume: 8, Issue: 1, Start page: 56

Swansea University Author: Andrew Bruce Orcid Logo

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DOI (Published version): 10.3390/universe8010056

Abstract

We re-examine the appearance of semiheaps and (para-associative) ternary algebras in quantum mechanics. In particular, we review the construction of a semiheap on a Hilbert space and the set of bounded operators on a Hilbert space. The new aspect of this work is a discussion of how symmetries of a q...

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Published in: Universe
ISSN: 2218-1997
Published: MDPI AG 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa59243
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first_indexed 2022-01-25T11:41:59Z
last_indexed 2022-02-05T04:26:50Z
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spelling 2022-02-04T12:10:38.9823114 v2 59243 2022-01-25 Semiheaps and Ternary Algebras in Quantum Mechanics Revisited 934c5052ed813b322d023ca3f54d7591 0000-0001-8197-2263 Andrew Bruce Andrew Bruce true false 2022-01-25 SMA We re-examine the appearance of semiheaps and (para-associative) ternary algebras in quantum mechanics. In particular, we review the construction of a semiheap on a Hilbert space and the set of bounded operators on a Hilbert space. The new aspect of this work is a discussion of how symmetries of a quantum system induce homomorphisms of the relevant semiheaps and ternary algebras. Journal Article Universe 8 1 56 MDPI AG 2218-1997 semiheaps, ternary algebras, para-associativity, quantum mechanics 17 1 2022 2022-01-17 10.3390/universe8010056 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2022-02-04T12:10:38.9823114 2022-01-25T11:39:51.0831964 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Andrew Bruce 0000-0001-8197-2263 1 59243__22215__91c8052b597c41289b3d3eed654e3cd6.pdf universe-08-00056-v2.pdf 2022-01-25T11:39:51.0831550 Output 283559 application/pdf Version of Record true This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited true eng https://creativecommons.org/licenses/by/4.0/
title Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
spellingShingle Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
Andrew Bruce
title_short Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
title_full Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
title_fullStr Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
title_full_unstemmed Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
title_sort Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
author_id_str_mv 934c5052ed813b322d023ca3f54d7591
author_id_fullname_str_mv 934c5052ed813b322d023ca3f54d7591_***_Andrew Bruce
author Andrew Bruce
author2 Andrew Bruce
format Journal article
container_title Universe
container_volume 8
container_issue 1
container_start_page 56
publishDate 2022
institution Swansea University
issn 2218-1997
doi_str_mv 10.3390/universe8010056
publisher MDPI AG
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
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description We re-examine the appearance of semiheaps and (para-associative) ternary algebras in quantum mechanics. In particular, we review the construction of a semiheap on a Hilbert space and the set of bounded operators on a Hilbert space. The new aspect of this work is a discussion of how symmetries of a quantum system induce homomorphisms of the relevant semiheaps and ternary algebras.
published_date 2022-01-17T04:16:24Z
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score 11.021981

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