On the Spectrum of a Discrete Non-Hermitian Quantum System

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Ergun E.

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, cilt.5, 2009 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 5
• Basım Tarihi: 2009
• Doi Numarası: 10.3842/sigma.2009.007
• Dergi Adı: SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Anahtar Kelimeler: difference operator, non-Hermiticity, spectrum, eigenvalue, eigenvector, completely continuous operator, HAMILTONIANS, REALITY
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Ankara Üniversitesi Adresli: Hayır

Özet

In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness of the spectrum are established.