
What is the meaning of "Hermitian"? - Mathematics Stack Exchange
A Hermitian matrix is a matrix that is equal to its conjugate transpose. This generalizes the concept of a "symmetric matrix", since every real symmetric matrix is Hermitian. However, …
What is Hermitian? Definition & Summary - Physics Forums
Jul 24, 2014 · The Hermitian transpose, denoted as M^ {\dagger}, is defined as the complex conjugate of the transpose of a matrix M. A matrix is classified as Hermitian if it satisfies the …
functional analysis - Distinguishing between symmetric, Hermitian …
In any reasonable sense, symmetric=hermitian=self-adjoint. For genuinely unbounded operators, symmetric does not imply self-adjoint, and, unless the thing is already self-adjoint, its adjoint is …
If $A,B$ are Hermitian and - Mathematics Stack Exchange
Sep 26, 2019 · Thanks! This makes more sense, I forgot A and B were also hermitian in this problem. I appreciate the additional elaboration.
Why hermitian, after all? [duplicate] - Physics Stack Exchange
Jun 24, 2016 · Hermitian operators (or more correctly in the infinite dimensional case, self-adjoint operators) are used not because measurements must use real numbers, but rather because …
linear algebra - Matrices which are both unitary and Hermitian ...
Hermitian matrices are precisely the matrices admitting a complete set of orthonormal eigenvectors such that the corresponding eigenvalues are real. So unitary Hermitian matrices …
Prove that Operators are Hermitian - Physics Forums
Nov 26, 2012 · Homework Statement Prove that i d/dx and d^2/dx^2 are Hermitian operators Homework Equations I have been using page three of this document...
Prove AB is hermitian if A is hermitian and B is hermitian
Aug 19, 2013 · Prove AB is hermitian if A is hermitian and B is hermitian Ask Question Asked 12 years, 4 months ago Modified 12 years, 4 months ago
Hermiticity of AB where A and B are Hermitian operator?
Nov 6, 2019 · The discussion centers on the Hermiticity of the product of two Hermitian operators, A and B. It is established that while A and B are Hermitian, the product AB is not necessarily …
Difference between hermitian and sesquilinear form
A sesquilinear form with the property $\langle x,y\rangle = \overline {\langle y,x \rangle}$ is called hermitian. Since we have extra terminology it would seem that one would define a sesquilinear …