Recursive parameterisation and invariant phases of unitary matrices

Abstract

We present further properties of a previously proposed recursive scheme for parameterisation of n-by-n unitary matrices. We show that the factors in the recursive formula may be introduced in any desired order. The method is used to study the invariant phases of unitary matrices. The case of four-by-four unitary matrices is investigated in detail. We also address the question of how to construct symmetric unitary matrices using the recursive approach.

References in corpus (2)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The quark mixing matrix with manifest Cabibbo substructure and an angle of the unitarity triangle as one of its parameters

Cited by in corpus (10)

• Parametrizations of density matrices
• Supersymmetric Jarlskog Invariants: the Neutrino Sector
• A composite parameterization of unitary groups, density matrices and subspaces
• Scaling a unitary matrix
• Entropy-energy inequalities for qudit states
• A Geometric Parametrization of the Cabibbo-Kobayashi-Maskawa Matrix and the Jarlskog Invariant
• The Role of Invariant Functions in Understanding Masses and Mixings
• Some Formulas for Invariant Phases of Unitary Matrices by Jarlskog
• Cabibbo-Kobayashi-Maskawa matrix: parameterizations and rephasing invariants
• Parametrizations of degenerate density matrices