JournalszaaVol. 7, No. 3pp. 233–239

On the Spectrum of Schrödinger Operators at the Half Space with a Certain Class of Boundary Conditions

  • Manfred Schröder

    Universität Leipzig, Germany
On the Spectrum of Schrödinger Operators at the Half Space with a Certain Class of Boundary Conditions cover

Abstract

The spectrum of free Schrödinger operators at the half space with boundary condition φnQφ=0\varphi_n – Q\varphi = 0 (φ\varphi being the normal derivative, QQ a self-adjoint operator at the boundary) is investigated and a connection between its negative part and the spectrum of a family of Klein–Gordon type operators is stated.

Cite this article

Manfred Schröder, On the Spectrum of Schrödinger Operators at the Half Space with a Certain Class of Boundary Conditions. Z. Anal. Anwend. 7 (1988), no. 3, pp. 233–239

DOI 10.4171/ZAA/301