ASYMPTOTIC BEHAVIOUR OF RESONANCE EIGENVALUES OF THE SCHRODINGER OPERATOR WITH A MATRIX POTENTIAL

KARAKILIÇ, SEDEF; Akduman, Setenay; COŞKAN  ÖZALP, DİDEM

doi:10.31801/cfsuasmas.577438

ASYMPTOTIC BEHAVIOUR OF RESONANCE EIGENVALUES OF THE SCHRODINGER OPERATOR WITH A MATRIX POTENTIAL

KARAKILIÇ S., Akduman S., COŞKAN ÖZALP D.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.1, ss.486-510, 2020 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 69 Sayı: 1
Basım Tarihi: 2020
Doi Numarası: 10.31801/cfsuasmas.577438
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.486-510
Anahtar Kelimeler: Schrodinger operator, Neumann condition, Resonance eigenvalue, perturbation theory, SPECTRUM, FORMULAS
Dokuz Eylül Üniversitesi Adresli: Evet

Özet

We will discuss the asymptotic behaviour of the eigenvalues of a Schrodinger operator with a matrix potential defined by the Neumann boundary condition in L-2(m) (F), where F is a d-dimensional rectangle and the potential is an m x m matrix with m >= 2, d >= 2, when the eigenvalues belong to the resonance domain, roughly speaking they lie near the planes of diffraction.