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, …

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 …

Apr 16, 2013 · I am trying to prove that Hermitian Matrices are diagonalizable. I have already proven that Hermitian Matrices have real roots and any two eigenvectors associated with two …

Oct 19, 2016 · Homework Statement Not actually a homework question but is an exercise in my lecture notes. Homework Equations I'm following this which demonstrates...

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 …

As for the real derivative $\partial_x$ within the standard non-relativistic quantum mechanics scenario, one may use the simple identity that any Hermitian operator multiplied by $\mathrm …

Oct 2, 2018 · The same question has troubled me. Regarding the statement that there is always such a complete set of eigenvectors for , it can be found in Levine's Quantum Chemistry …

Dec 21, 2019 · Product of two Hermitian matrices Ask Question Asked 7 years, 8 months ago Modified 5 years, 11 months ago

Sep 26, 2019 · Thanks! This makes more sense, I forgot A and B were also hermitian in this problem. I appreciate the additional elaboration.

Nov 11, 2020 · Homework-like questions and check-my-work questions are considered off-topic here, particularly when asking about specific computations instead of underlying physics …