Remarks on Schrödinger operators with singular matrix potentials

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Keywords:

Glazman–Povzner–Wienholtz theorem, m-accretivity, complex-valued potential, distributional potential

Abstract

In this paper, an 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.

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Published

2013-06-25

Issue

Vol. 19 No. 2 (2013)

Section

Articles

How to Cite

Molyboga, V. M., and V. A. Mikhailets. “Remarks on Schrödinger Operators With Singular Matrix Potentials”. Methods of Functional Analysis and Topology, vol. 19, no. 2, June 2013, pp. 161-7, https://zen.imath.kiev.ua/index.php/mfat/article/view/543.