Hermite polynomials 埃米尔特多项式

一个函数的共轭与原函数的自变量变号（沿虚轴对称）后值相同。

多变量，定义域内所有数对变号。

$$ f(-x)=\overline{f(x)}\\\text {or}\ f(-x_1,-x_2)= \overline{f(x_1,x_2)} $$

Hermite polynomials

Hermitian operator厄米算子 self-adjoint operator自伴算子

Hermitian operator - Knowino

It’s a linear operator on a vector space $V$ that is equipped with positive definite inner product.正定

Adjugate matrix 伴随矩阵

【伴随矩阵】

Hermitian matrix 厄米矩阵 self-adjoint matrix 自伴随矩阵

Hermitian matrix

$$ A=A^\dagger $$

anti-Hermitian

$$ A+A^\dagger=0 $$

Unitary matrix 幺正矩阵| 酉you矩阵

反幺正变换

A unitary matrix is a complex matrix whose columns(and rows) are orthonormal. For real number, the analogue of unitary matrix is an orthogonal matrix 矩阵

def: an invertible complex square matrix $U$ is unitary if its conjugate transpose $U^\dagger$ is also its inverse.