{
  "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
}