Hermitian Matrix Diagonalization and its Symmetry Properties

Shao-Hsuan Chiu, T.K. Kuo

Research output: Contribution to journalJournal Article peer-review

Abstract

<div data-language="eng" data-ev-field="abstract">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.<br/></div> &copy; 2023, CC BY.
Original languageAmerican English
Pages (from-to)1-9
JournalarXiv
DOIs
StatePublished - 2023

Keywords

  • Matrix algebra
  • Diagonalizations
  • Eigen-value
  • Hermitian matrices
  • Matrix diagonalization
  • Mixing parameters
  • Neutrino oscillations
  • Simple++
  • Submatrix
  • Symmetry operations
  • Symmetry properties

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