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math-ph2023
Inverse spectral problem for the Schrödinger operator on the square lattice
Dongjie Wu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko
We consider an inverse spectral problem on a quantum graph associated with the square lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we s…
math-ph2017
Determination of matrix potential from scattering matrix
Xiao-Chuan Xu, Chuan-Fu Yang
(i) For the matrix Schrödinger operator on the half line, it is shown that if the potential exponentially decreases fast enough then only the scattering matrix uniquely determines…
math-ph2017★ 8 cited
Inverse resonance problems for the Schroedinger operator on the real line with mixed given data
Xiao-Chuan Xu, Chuan-Fu Yang
In this work, we study inverse resonance problems for the Schrödinger operator on the real line with the potential supported in . In general, all eigenvalues and resonances…