A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras-Reference-Cited by-同舟云学术

A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras

Published:2020-01 Issue:2233 Volume:476 Page:20190604
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Niestegge Gerd¹^ORCID

Affiliation:

1. Freelance researcher, Germany

Abstract

Quantum theory’s Hilbert space apparatus in its finite-dimensional version is nearly reconstructed from four simple and quantum-mechanically motivated postulates for a quantum logic. The recon- struction process is not complete, since it excludes the two-dimensional Hilbert space and still includes the exceptional Jordan algebras, which are not part of the Hilbert space apparatus. Options for physically meaningful potential generalizations of the apparatus are discussed.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2019.0604

Reference64 articles.

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