unitary matrices
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Unitary group — In mathematics, the unitary group of degree n , denoted U( n ), is the group of n times; n unitary matrices, with the group operation that of matrix multiplication. The unitary group is a subgroup of the general linear group GL( n , C).In the… … Wikipedia
Unitary operator — For unitarity in physics, see unitarity (physics). In functional analysis, a branch of mathematics, a unitary operator (not to be confused with a unity operator) is a bounded linear operator U : H → H on a Hilbert space H… … Wikipedia
Unitary matrix — In mathematics, a unitary matrix is an n by n complex matrix U satisfying the condition:U^* U = UU^* = I n, where I n, is the identity matrix and U^* , is the conjugate transpose (also called the Hermitian adjoint) of U . Note this condition says … Wikipedia
Matrices de rotation — Matrice de rotation En mathématiques, et plus précisément en algèbre linéaire, une matrice de rotation est une matrice orthogonale de déterminant 1. Le nom est dû au fait qu une matrice de rotation n×n correspond à une rotation géométrique autour … Wikipédia en Français
Special unitary group — In mathematics, the special unitary group of degree n , denoted SU( n ), is the group of n times; n unitary matrices with determinant 1. The group operation is that of matrix multiplication. The special unitary group is a subgroup of the unitary… … Wikipedia
Projective unitary group — In mathematics, the projective unitary group PU( n ) is the quotient of the unitary group U( n ) by the right multiplication of its center, U(1), embedded as scalars.Abstractly, it is the isometry group of complex projective space, just as the… … Wikipedia
Generalizations of Pauli matrices — In mathematics and physics, in particular quantum information, the term generalized Pauli matrices refers to families of matrices which generalize the (linear algebraic) properties of the Pauli matrices. In this article we give a few classes of… … Wikipedia
Pauli matrices — The Pauli matrices are a set of 2 times; 2 complex Hermitian and unitary matrices. Usually indicated by the Greek letter sigma (σ), they are occasionally denoted with a tau (τ) when used in connection with isospin symmetries. They are::sigma 1 =… … Wikipedia
List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… … Wikipedia
Gell-Mann matrices — The Gell Mann matrices, named for Murray Gell Mann, are one possible representation of the infinitesimal generators of the special unitary group called SU(3).This group has eight generators, which we can write as gi , with i taking values from 1… … Wikipedia
Gamma matrices — In mathematical physics, the gamma matrices, {γ0,γ1,γ2,γ3}, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra… … Wikipedia
