Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… … Wikipedia
Self-adjoint — In mathematics, an element x of a star algebra is self adjoint if x^*=x.A collection C of elements of a star algebra is self adjoint if it is closed under the involution operation. For example, if x^*=y then since y^*=x^{**}=x in a star algebra,… … Wikipedia
Hermitian matrix — A Hermitian matrix (or self adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose mdash; that is, the element in the i th row and j th column is equal to the complex conjugate of the element in the… … Wikipedia
Hermite-Matrix — ermitinė matrica statusas T sritis fizika atitikmenys: angl. Hermitian matrix; self adjoint matrix vok. Hermite Matrix, f; hermitesche Matrix, f; selbstadjungierte Matrix, f rus. самосопряжённая матрица, f; эрмитова матрица, f pranc. matrice… … Fizikos terminų žodynas
Hermitian matrix — ermitinė matrica statusas T sritis fizika atitikmenys: angl. Hermitian matrix; self adjoint matrix vok. Hermite Matrix, f; hermitesche Matrix, f; selbstadjungierte Matrix, f rus. самосопряжённая матрица, f; эрмитова матрица, f pranc. matrice… … Fizikos terminų žodynas
hermitesche Matrix — ermitinė matrica statusas T sritis fizika atitikmenys: angl. Hermitian matrix; self adjoint matrix vok. Hermite Matrix, f; hermitesche Matrix, f; selbstadjungierte Matrix, f rus. самосопряжённая матрица, f; эрмитова матрица, f pranc. matrice… … Fizikos terminų žodynas
selbstadjungierte Matrix — ermitinė matrica statusas T sritis fizika atitikmenys: angl. Hermitian matrix; self adjoint matrix vok. Hermite Matrix, f; hermitesche Matrix, f; selbstadjungierte Matrix, f rus. самосопряжённая матрица, f; эрмитова матрица, f pranc. matrice… … Fizikos terminų žodynas
Density matrix — Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… … Wikipedia
Hermitian adjoint — In mathematics, specifically in functional analysis, each linear operator on a Hilbert space has a corresponding adjoint operator. Adjoints of operators generalize conjugate transposes of square matrices to (possibly) infinite dimensional… … Wikipedia
Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… … Wikipedia
