Discreteness of spectrum for Schrödinger operators with δʹ-type conditions on infinite regular trees

• DOI: 10.1017/s030821051600041x
• Publication Date: 2017-08-14T04:09:54Z
• Authors: Jia Zhao; Guoliang Shi; Jun Yan
• Keywords: Schrödinger's cat; Operator (biology); Self-adjoint operator; Spectral Properties; Discrete spectrum

This paper deals with the spectral properties of self-adjoint Schrödinger operators δʹ -type conditions on infinite regular trees. Firstly, we discuss semi-boundedness and self-adjointness this kind operator. Secondly, by using form approach, give necessary sufficient condition that ensures spectra are discrete.