How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable?

DOI10.1016/j.aml.2021.107803zbMath1486.81162OpenAlexW3217695908MaRDI QIDQ2077052

Natália Bebiano, Wei-Ru Xu, Yi Gong, Guo-Liang Chen

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107803

zbMATH Keywords

Floquet theoryinverse eigenvalue problemsignature operatorperiodic pseudo-Jacobi matrix

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Inverse scattering problems in quantum theory (81U40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Linear operators on spaces with an indefinite metric (47B50) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data

Cites Work

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• The Construction of Jacobi and Periodic Jacobi Matrices With Prescribed Spectra
• On the Toda Lattice. II: Inverse-Scattering Solution
• On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra

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