Hermitian Matrix Diagonalization and Its Symmetry Properties

Autor: S. H. Chiu, T. K. Kuo
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Advances in High Energy Physics, Vol 2024 (2024)
Druh dokumentu: article
ISSN: 1687-7365
DOI: 10.1155/2024/3681297
Popis: A Hermitian matrix can be parametrized by a set consisting of its determinant and the eigenvalues of its submatrices. We established a group of equations which connect these variables with the mixing parameters of diagonalization. These equations are simple in structure and manifestly invariant in form under the symmetry operations of dilatation, translation, rephasing, and permutation. When applied to the problem of neutrino oscillation in matter, they produced two new “matter invariants” which are confirmed by available data.
Databáze: Directory of Open Access Journals
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