On the eigenvalues of a 3 by 3 non-Hermitian Hamiltonian

Ergun E., BAYRAM E.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.49, sa.2, ss.609-617, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s10910-010-9767-2
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.609-617
  • Anahtar Kelimeler: Discrete system, Non-Hermiticity, Jacobi matrix, Eigenvalue
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we are concerned with a 3 x 3 complex matrix Jacobi (tri-diagonal matrix) arised from a non-Hermitian discrete quantum system. Necessary and sufficient conditions for reality of the eigenvalues of the matrix in question are established.