High energy asymptotics for eigenvalues of the Schrodinger operator with a matrix potential

COŞKAN ÖZALP D., KARAKILIÇ S.

MATHEMATICAL COMMUNICATIONS, cilt.16, sa.2, ss.551-567, 2011 (SCI-Expanded) identifier identifier

  • 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, SPECTRUM, FORMULAS
  • 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.