Results 121 to 130 of about 652,963 (179)

Inverse spectral problem for the operators with non‐local potential

Mathematische Nachrichten, 2018
The main object under consideration in the paper is the second derivative operator on a finite interval with zero boundary conditions perturbed by a self‐adjoint integral operator with the degenerate kernel (non‐local potential). The inverse problem, i.e.
V. Zolotarev
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An inverse spectral problem for integro-differential Dirac operators with general convolution kernels

Applicable Analysis, 2018
An integro-differential Dirac system with a convolution kernel consisting of four independent functions is considered. We prove that the kernel is uniquely determined by specifying the spectra of two boundary value problems with one common boundary ...
N. Bondarenko, S. Buterin
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SPECTRAL INVERSE PROBLEM IN SUPERSYMMETRIC QUANTUM MECHANICS

International Journal of Modern Physics A, 1993
The supersymmetric WKB quantization condition is used to study the so-called spectral inverse problem. Wavefunctions for the harmonic oscillator and hydrogen atom are obtained from the knowledge of their bound-state energy spectra. The analysis presented is based essentially on a repackaging of the conventional theory of integral equations.
Bera, P. K., Bhattacharyya, S., Talukdar, B.   +2 more
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Inverse spectral problems for arrowhead matrices

2021
Summary: The problem of constructing a matrix by its spectral information is called inverse eigenvalue problem (IEP) which arises in a variety of applications. In this paper, we study an IEP for arrowhead matrices in different cases. The problem involves constructing of the matrix by some eigenvalues of each of the leading principal submatrices and one
Fathi, Ferya, Fariborzi Araghi, Mohammad Ali, Shahzadeh Fazeli, Seyed Abolfazl   +2 more
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On the inverse spectral stability for the transmission eigenvalue problem with finite data

Inverse Problems, 2020
In this work, we study the inverse spectral stability for the transmission eigenvalue problem from finitely many data with errors. It is shown that when a ⩽ 1, all potentials, whose transmission eigenvalues are ɛ-close in some disc centered at the origin,
Xiao‐Chuan Xu, Chuan-Fu Yang
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Designing Optimal Spectral Filters for Inverse Problems

SIAM Journal on Scientific Computing, 2011
Summary: Spectral filtering suppresses the amplification of errors when computing solutions to ill-posed inverse problems; however, selecting good regularization parameters is often expensive. In many applications, data are available from calibration experiments. In this paper, we describe how to use such data to precompute optimal spectral filters. We
Chung, Julianne, Chung, Matthias, O'Leary, Dianne P.   +2 more
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Inverse spectral problems for compact Hankel operators

Journal of the Institute of Mathematics of Jussieu, 2013
AbstractGiven two arbitrary sequences $({\lambda }_{j} )_{j\geq 1} $ and $({\mu }_{j} )_{j\geq 1} $ of real numbers satisfying $$\begin{eqnarray*}\displaystyle \vert {\lambda }_{1} \vert \gt \vert {\mu }_{1} \vert \gt \vert {\lambda }_{2} \vert \gt \vert {\mu }_{2} \vert \gt \cdots \gt \vert {\lambda }_{j} \vert \gt \vert {\mu }_{j} \vert \rightarrow 0,
Gérard, Patrick, Grellier, Sandrine
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INVERSE SPECTRAL PROBLEM FOR ATOM-LIKE MESONS

Modern Physics Letters A, 2008
Inverse spectral problem for the Dirac equation with quark–antiquark potential is treated. For a class of potentials of the form Q(x) = q(x) E + (m + x)I, where q(x) = o(1) for x → +∞, [Formula: see text], E = I2 is multiplicative identity matrix, it is proved that q(x) in the Dirac equation can be uniquely recovered from the data {λj, sj}.
Matrasulov, D. U., Sobiro, Z. A., Sabirov, K. K.   +2 more
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The integrated inverse spectral problem

Journal of Molecular Structure, 1994
Abstract The concept of the integrated inverse spectral problem is discussed. Force constants and electro-optical parameters of molecules and half-widths of spectral bands may be simultaneously determined as a result of solving this problem. A novel expression based on the correlation factor and penalty function is offered as a solution to the ...
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Spectral and scattering inverse problems

Journal of Mathematical Physics, 1978
The reconstruction of a differential operator form discrete spectra is reduced to its reconstruction from an S-matrix. This method makes it possible to solve the singular Sturm–Liouville problems which determine certain modes of a sphere. The results pave the way for handling studies in which information on modes and scattering results would all be ...
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