Block-diagonalizable two-dimensional generalized Ising systems (BD2DGIS): the eigenvalues and eigenvectors
Vadym Sakhno, Mykola Sakhno
TL;DR
This paper analyzes the eigenvalues, eigenvectors, and Jordan normal form of block-diagonalizable 2D generalized Ising systems using a quantum field model, extending previous work on their structure.
Contribution
It provides a detailed mathematical analysis of the spectral properties of BD2DGIS, including eigenvalues, eigenvectors, and Jordan form, using a quantum field approach.
Findings
Eigenvalues and eigenvectors are explicitly characterized.
Jordan normal form of BD2DGIS is determined.
Analysis enhances understanding of the spectral structure of these systems.
Abstract
This paper is a continuation of [1] and [2], where the block-diagonalizable two-dimensional generalized Ising systems (BD2DGIS) were introduced. In this paper, their eigenvalues, eigenvectors and Jordan normal form are analyzed in detail using the simplest quantum field model.
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.
Taxonomy
TopicsTheoretical and Computational Physics · Molecular spectroscopy and chirality · Spectroscopy and Quantum Chemical Studies