Even spheres as joint spectra of matrix models

Cerjan, Alexander; Loring, Terry A.

doi:10.1016/j.jmaa.2023.127892

Even spheres as joint spectra of matrix models

Journal Article · Tue Oct 31 00:00:00 EDT 2023 · Journal of Mathematical Analysis and Applications

DOI:https://doi.org/10.1016/j.jmaa.2023.127892· OSTI ID:2311445

Cerjan, Alexander ^[1]; ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Integrated Nanotechnologies
University of New Mexico, Albuquerque, NM (United States)

The Clifford spectrum is a form of joint spectrum for noncommuting matrices. This theory has been applied in photonics, condensed matter and string theory. In applications, the Clifford spectrum can be efficiently approximated using numerical methods, but this only is possible in low dimensional example. In this paper we examine the higher-dimensional spheres that can arise from theoretical examples. We also describe a constructive method to generate five real symmetric almost commuting matrices that have a K-theoretical obstruction to being close to commuting matrices. For this, we look to matrix models of topological electric circuits.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 2311445

Alternate ID(s):: OSTI ID: 2205256

Report Number(s):: SAND--2023-13523J

Journal Information:: Journal of Mathematical Analysis and Applications, Journal Name: Journal of Mathematical Analysis and Applications Journal Issue: 1 Vol. 531; ISSN 0022-247X

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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