Remarks on Schrödinger operators with singular matrix potentials

Abstract

In this paper the asymmetric generalization of the Glazman-Povzner-Wienholtz theorem is proved for one-dimensional Schrödinger operators with strongly singular matrix potentials from the space $H_{loc}^{-1}(\mathbb{R},{\mathbb{C}}^{m\times m})$. This result is new in the scalar case as well.

6 pages

References in corpus (2)

• Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials
• Formally self-adjoint quasi-differential operators and boundary value problems

Cited by in corpus (2)

• Schrödinger operators with measure-valued potentials: semiboundedness and spectrum
• Continuous extension of conformal maps