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Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
Universe, Volume: 8, Issue: 1, Start page: 56
Swansea University Author:
Andrew Bruce
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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...
| Published in: | Universe |
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| ISSN: | 2218-1997 |
| Published: |
MDPI AG
2022
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa59243 |
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| 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 quantum system induce homomorphisms of the relevant semiheaps and ternary algebras. |
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| Keywords: |
semiheaps, ternary algebras, para-associativity, quantum mechanics |
| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
56 |