Schrodinger operators with locally integrable potentials on infinite metric graphs
APPLICABLE ANALYSIS, cilt.96, sa.12, ss.2149-2161, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 96 Sayı: 12
- Basım Tarihi: 2017
- Doi Numarası: 10.1080/00036811.2016.1207247
- Dergi Adı: APPLICABLE ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2149-2161
- Anahtar Kelimeler: Metric graph, Schrodinger operator, spectrum
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
The paper is devoted to Schrodinger operators on infinite metric graphs. We suppose that the potential is locally integrable and its negative part is bounded in certain integral sense. First, we obtain a description of the bottom of the essential spectrum. Then we prove theorems on the discreteness of the negative part of the spectrum and of the whole spectrum that extend some classical results for one dimensional Schrodinger operators.