Kato's inequality and essential selfadjointness for the Weyl quantized relativistic Hamiltonian
The essential selfadjointness of the general Weyl quantized relativistic Hamiltonian \(H^ m=H^ m_ A+\Phi\) is shown. Here, m is a nonnegative constant. The vector potential A(x) and the scalar potential \(\Phi\) (x) are, respectively, \({\mathbb{R}}^ d\)-valued and \({\mathbb{R}}\)-valued measurable functions in \({\mathbb{R}}^ d\), which satisfy some conditions.
scientific article; zbMATH DE number 4157117