dorsal/arxiv
View SchemaGeneration of Matrices with Specified Eigenvalues and their Diagonalization
| Authors | Habatwa V. Mweene |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506074 |
| URL | https://arxiv.org/abs/quant-ph/0506074 |
Abstract
We present a prescription for forming matrices with specified eigenvalues and known eigenvectors. With this method, we can form Hermitian, anti-Hermitian, symmetric and general matrices with arbitrary eigenvalues. In addition we propose an algorithm for diagonalizing such matrices. The functions required for the realization of this are probability amplitudes connecting observables with discrete eigenvalue spectra and can be obtained from spin theory. For the example case of $5\times 5$ matrices, these functions are given.
{
"annotation_id": "1ce2c87f-f0e7-4b85-89e5-143156fbdab4",
"date_created": "2026-03-02T18:02:16.490000Z",
"date_modified": "2026-03-02T18:02:16.490000Z",
"file_hash": "02ed72f34df77303d1d930f1ddacc78c659dd74f280c5b38beee25cafad7c793",
"private": false,
"record": {
"abstract": "We present a prescription for forming matrices with specified eigenvalues and\nknown eigenvectors. With this method, we can form Hermitian, anti-Hermitian,\nsymmetric and general matrices with arbitrary eigenvalues. In addition we\npropose an algorithm for diagonalizing such matrices. The functions required\nfor the realization of this are probability amplitudes connecting observables\nwith discrete eigenvalue spectra and can be obtained from spin theory. For the\nexample case of $5\\times 5$ matrices, these functions are given.",
"arxiv_id": "quant-ph/0506074",
"authors": [
"Habatwa V. Mweene"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"title": "Generation of Matrices with Specified Eigenvalues and their Diagonalization",
"url": "https://arxiv.org/abs/quant-ph/0506074"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7f7ad88e-4e3a-4e47-9bd6-3533edd1edfa",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}