ASYMPTOTIC BEHAVIOUR OF RESONANCE EIGENVALUES OF THE SCHRODINGER OPERATOR WITH A MATRIX POTENTIAL
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.1, ss.486-510, 2020 (ESCI, TRDizin)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.