TL;DR
This paper introduces a generalized matrix mechanics framework using many-index objects, extending Heisenberg's original formulation to include solutions like harmonic oscillators and a generalized spin algebra.
Contribution
It presents a novel generalization of matrix mechanics with many-index objects, expanding the mathematical structure and physical applications.
Findings
Derived a solution for the harmonic oscillator within the new framework.
Established a generalized spin algebra from many-index objects.
Demonstrated the mathematical consistency of the proposed generalization.
Abstract
We propose a generalization of Heisenbergs' matrix mechanics based on many-index objects. It is shown that there exists a solution describing a harmonic oscillator and many-index objects lead to a generalization of spin algebra.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.