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Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
Інший ID:
2000 Mathematics Subject Classification: 15A29; 39A10
Посилання:
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians / G.Sh. Guseinov// Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the VIIth Workshop “Quantum Physics with NonHermitian Operators” (June 29 – July 11, 2008, Benasque, Spain). This work was supported by Grant 106T549 from the Scientific and Technological Research Council of Turkey (TUBITAK).
Дата:
2009
Переглядів:
374
Завантажень:
228
Анотація:
In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing numbers of the matrix. The inverse problems from generalized spectral function as well as from spectral data are investigated. In this way, a procedure for construction of complex tridiagonal matrices having real eigenvalues is obtained.
