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.
Keywords
- Complex Jacobian Matrix
- Quantum Continuous Systems
- Matrix Case
- Complex-valued Coefficients
- Order Polynomial Equation
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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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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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