Hidden structures in quantum mechanics
Vladimir Dzhunushaliev
TL;DR
This paper reveals hidden, unobservable structures in quantum mechanics operators, based on supersymmetric and nonassociative decompositions, offering new insights into the underlying mathematical framework.
Contribution
It introduces novel supersymmetric and nonassociative decompositions of quantum operators, uncovering hidden structures in quantum mechanics.
Findings
Operators have unobservable hidden structures.
Supersymmetric decomposition applies to momentum.
Nonassociative decomposition applies to spin.
Abstract
It is shown that some operators in quantum mechanics have hidden structures that are unobservable in principle. These structures are based on a supersymmetric decomposition of the momentum operator, and a nonassociative decomposition of the spin operator.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Quantum Mechanics and Non-Hermitian Physics · Advanced Topics in Algebra