Discreteness of spectrum for Schrödinger operators with δʹ-type conditions on infinite regular trees
Published online by Cambridge University Press: 14 August 2017
Extract
This paper deals with the spectral properties of self-adjoint Schrödinger operators with δʹ-type conditions on infinite regular trees. Firstly, we discuss the semi-boundedness and self-adjointness of this kind of Schrödinger operator. Secondly, by using the form approach, we give the necessary and sufficient condition that ensures that the spectra of the self-adjoint Schrödinger operators with δʹ-type conditions are discrete.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 5 , October 2017 , pp. 1091 - 1117
- Copyright
- Copyright © Royal Society of Edinburgh 2017
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