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On the Eigenvalues of a Non-Hermitian Hamiltonian

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Dynamical Systems and Methods

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Abstract

We study a 4 ×4 complex matrix Jacobi (tri-diagonal matrix) arised from a non-Hermitian discrete quantum system. Reality of the eigenvalues of the matrix in question is investigated.

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Acknowledgments

This work was supported by Grant 109T032 from the Scientific and Technological Research Council of Turkey (TUBITAK).

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Authors and Affiliations

  1. Department of Physics, Ankara University, 06100, Tandogan, Ankara, Turkey

    Ebru Ergun

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  1. Ebru Ergun
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Correspondence to Ebru Ergun .

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Editors and Affiliations

  1. Edwardsville, School of Engineering, Southern Illinois University, Room: EB2064, Edwardsville, 62026-1805, USA

    Albert C.J. Luo

  2. Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Rua Dr António Bernadino Almeida 431, Porto, 4200-072, Portugal

    José António Tenreiro Machado

  3. Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

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Ergun, E. (2012). On the Eigenvalues of a Non-Hermitian Hamiltonian. In: Luo, A., Machado, J., Baleanu, D. (eds) Dynamical Systems and Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0454-5_13

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  • DOI: https://doi.org/10.1007/978-1-4614-0454-5_13

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-0453-8

  • Online ISBN: 978-1-4614-0454-5

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