High energy asymptotics for eigenvalues of the Schrodinger operator with a matrix potential
MATHEMATICAL COMMUNICATIONS, cilt.16, sa.2, ss.551-567, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 2
- Basım Tarihi: 2011
- Dergi Adı: MATHEMATICAL COMMUNICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.551-567
- Anahtar Kelimeler: Schrodinger operator, Neumann condition, perturbation, matrix potential
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
We consider a Schrodinger operator with a matrix potential defined in L-2(m) (Q) by the differential expression Lu = -Delta u + Vu and the Neumann boundary condition, where Q is a d-dimensional parallelepiped and V a matrix potential, d >= 2, m >= 2. We obtain the high energy asymptotics of arbitrary order for a rich set of eigenvalues.