2003年
An approach to the spectrum structure of Dirac operators by the local-compactness method
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- ,
- 巻
- 131
- 号
- 5
- 開始ページ
- 1471
- 終了ページ
- 1479
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1090/S0002-9939-02-06661-3
- 出版者・発行元
- AMER MATHEMATICAL SOC
The purpose of this paper is to investigate the spectra of the Dirac operator H = H-o + V - -icalpha . del + betamc(2) + V. The local compactness of H is shown under some assumption on V. This method enables us to prove that if \V(x) - abeta\ --> 0 as \x\ --> infinity, then sigma(ess)(H) = (-infinity, -mc(2) - a] boolean OR [mc(2) + a, infinity) and to give a significant sufficient condition that H+ or H- has a purely discrete spectrum.
- リンク情報
- ID情報
-
- DOI : 10.1090/S0002-9939-02-06661-3
- ISSN : 0002-9939
- Web of Science ID : WOS:000180467000018