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Composition-based machine learning for predicting and designing Mn⁴⁺-doped phosphors. [PDF]

RSC Adv
Que NT, Huan VD, Duy LT, Bao VN, Minh VL, Trang MX, Phan AD, Huy PT.   +7 more
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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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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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On an inverse spectral problem

Russian Journal of Mathematical Physics, 2017
The author considers the inverse spectral problem of reconstructing a function \(Q\) appearing in \[ (Qy')' +\lambda (y(x)-ky''(x))=0\text{ for }0\leq x \leq 1, \] where \(y\) is subject to \[ y(0)=y(1)=0,\, \int_0^1 y(x)dx=0 \] for \(k>0\). The sought \(Q\) is normalized by \(\int_0^1 Q(x)dx=1\) and the question is to find \(Q\) that minimizes the ...
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