MATHEMATICAL COMMUNICATIONS, vol.16, no.2, pp.551-567, 2011 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Schrodinger operator, Neumann condition, perturbation, matrix potential, SPECTRUM, FORMULAS
Dokuz Eylül University Affiliated:
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.