Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
arXiv:2111.13369 · doi: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 quantum system induce homomorphisms of the relevant semiheaps and ternary algebras.
7 pages, comments welcomed