Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
Mathematical Physics
2022-01-19 v1 math.MP
Quantum Algebra
Quantum Physics
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.
Cite
@article{arxiv.2111.13369,
title = {Semiheaps and Ternary Algebras in Quantum Mechanics Revisited},
author = {Andrew James Bruce},
journal= {arXiv preprint arXiv:2111.13369},
year = {2022}
}
Comments
7 pages, comments welcomed