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Transmission eigenvalues [PDF]
Inverse Problems, 2013 In inverse scattering theory, transmission eigenvalues can be seen as the extension of the notion of resonant frequencies for impenetrable objects to the case of penetrable dielectrics. The transmission eigenvalue problem is a relatively late arrival to the spectral theory of partial differential equations.
Cakoni, Fioralba, Haddar, Houssem
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Orbital Topology of Chiral Crystals for Orbitronics
Advanced Materials, EarlyView.Chirality is ubiquitous in nature and constitutional for life. In chiral materials the intrinsic handedness, defined by their crystal structure, becomes a main driver for a novel electronic topology that is based on the orbital angular momentum rather than the electron spin.
Kenta Hagiwara +16 more
wiley +1 more source
Precision Synthesis of a Single Chain Polymorph of a 2D Solid within Single‐Walled Carbon Nanotubes
Advanced Materials, EarlyView.The precise synthesis of 1D materials has enabled the discovery of physical properties only accessible in length scales close to the atomic scale. Herein, it is demonstrated that encapsulation within single‐walled carbon nanotubes with matching diameters leads to a stoichiometric quasi‐1D van der Waals polymorph of a 2D pnictogen chalcogenide, Sb2Te3 ...
Griffin M. Milligan +8 more
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A uniqueness theorem on the inverse problem for the Dirac operator
Electronic Journal of Differential Equations, 2016 In this article, we consider an inverse problem for the Dirac operator. We show that a particular set of eigenvalues is sufficient to determine the unknown potential functions.
Yu Ping Wang, Murat Sat
doaj
A modified atmospheric non-hydrostatic model on low aspect ratio grids: part II
Tellus: Series A, Dynamic Meteorology and Oceanography, 2013 Sun et al. (2012) proposed a modified non-hydrostatic model (MNH), in which the left-hand side of the continuity equation is multiplied by a parameter δ (4≤δ≤16 in the article) to suppress high-frequency acoustic waves.
Wen-Yih Sun +2 more
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Advanced Materials, EarlyView.Compact, robust, and ultralow‐loss on‐chip photonic devices are essential for densely integrated photonic chips. Here, the underlying radiation mechanism in topological valley edge states is unveiled and a new methodology of interface topology driven bandgap and wavevector engineering is proposed to thoroughly suppress their radiation losses, thereby ...
Zhonglei Shen +6 more
wiley +1 more source
AI‐Driven Defect Engineering for Advanced Thermoelectric Materials
Advanced Materials, EarlyView.This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Chu‐Liang Fu +9 more
wiley +1 more source
On the condition numbers of a multiple generalized eigenvalue
, 2010 For standard eigenvalue problems, a closed-form expression for the condition numbers of a multiple eigenvalue is known. In particular, they are uniformly 1 in the Hermitian case, and generally take different values in the non-Hermitian case.
Nakatsukasa, Yuji
core
Interlacing eigenvalues and graphs [PDF]
Linear Algebra and its Applications, 1995 AbstractWe give several old and some new applications of eigenvalue interlacing to matrices associated to graphs. Bounds are obtained for characteristic numbers of graphs, such as the size of a maximal (co)clique, the chromatic number, the diameter, and the bandwidth, in terms of the eigenvalues of the standard adjacency matrix or the Laplacian matrix.
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