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, …

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 …

I am permanently confused about the distinction between Hermitian and self-adjoint operators in an infinite-dimensional space. The preceding statement may even be ill-defined. My confusion …

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

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 …

are both unitary and Hermitian (for 0 ≤ θ ≤ 2π 0 ≤ θ ≤ 2 π). I call the latter type trivial, since its columns equal to plus/minus columns of the identity matrix. Do such matrices have any …

2 I am trying to work out the difference between hermitian and conjugate linear sesquilinear form. Let me elaborate on my confusion: Let H H be a Hilbert space. One definition (see e.g. here …

Oct 11, 2010 · The discussion centers on the properties of Hermitian operators in quantum mechanics, specifically addressing the commutator [A, B] and its implications when multiplied …

Mar 25, 2017 · and this binary operation is indeed skew-symmetric, billinear and fulfills the Jacobi identity, so one can indeed, at this abstract level, define a Lie algebra of Hermitian matrices.

I am struggling with the concept of hermitian operators, symmetric operators and self adjoint operators. All of the relevant material seems quite self contradictory, and the only notes I have …