Semiheaps and Ternary Algebras in Quantum Mechanics Revisited

被引：4
|
作者：
Bruce, Andrew James [1 ]
机构：
[1] Swansea Univ, Computat Foundry, Dept Math, Bay Campus,Fabian Way, Swansea SA1 8EN, W Glam, Wales
来源：
UNIVERSE | 2022年 / 8卷 / 01期
关键词：
semiheaps; ternary algebras; para-associativity; quantum mechanics; RINGS;
D O I：
10.3390/universe8010056
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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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页数：12
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