Published January 1, 2011 | Version v1
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On the eigenvalues of a 3 by 3 non-Hermitian Hamiltonian

  • 1. Ankara Univ, Dept Phys, TR-06100 Ankara, Turkey
  • 2. Ankara Univ, Dept Math, TR-06100 Ankara, Turkey

Description

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.

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