释义 |
Hermitian MatrixIf a Matrix is Self-Adjoint, it is said to be a Hermitian matrix. Therefore, aHermitian Matrix is defined as one for which
 | (1) |
where denotes the Adjoint Matrix. Hermitian Matrices have RealEigenvalues with Orthogonal Eigenvectors. ForReal Matrices, Hermitian is the same as symmetrical. Any Matrix which is not Hermitian can be expressed as the sum of two Hermitian matrices
 | (2) |
Let be a Unitary Matrix and be a Hermitian matrix. Then the Adjoint Matrix of aSimilarity Transformation is
The specific matrix
 | (4) |
where are Pauli Spin Matrices, is sometimes called ``the'' Hermitian matrix.See also Adjoint Matrix, Hermitian Operator, Pauli Spin Matrices References
Arfken, G. ``Hermitian Matrices, Unitary Matrices.'' §4.5 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 209-217, 1985.
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