An approach to the spectrum structure of Dirac operators by the local-compactness method期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

An approach to the spectrum structure of Dirac operators by the local-compactness method

Authors:	Tadashi Ikuta Kazuhisa Shima

Affiliation:	Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo, Noda, Chiba 278-8510, Japan ; Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo, Noda, Chiba 278-8510, Japan

Abstract:	The purpose of this paper is to investigate the spectra of the Dirac operator . The local compactness of is shown under some assumption on . This method enables us to prove that if as , then $sigma_{operatorname{ess}}(H)=(-infty,-mc^2-a]cup [mc^2+a,infty)$ and to give a significant sufficient condition that $H^{+}$ or $H^{-}$ has a purely discrete spectrum.

Keywords:	Locally compact operator Dirac operator essential spectrum discrete spectrum

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文