Results 61 to 70 of about 2,628 (194)

A 50‐Year Historical Perspective of the Extended Koopmans' Theorem, Its Exactness, and Future Prospects

International Journal of Quantum Chemistry, Volume 126, Issue 13, July 5, 2026.
The early history of the extended Koopmans' theorem is reviewed. The history of studies of its exactness for ionization is discussed, as well as limits of accuracy for electron affinities. The extended Koopmans' theorem will be useful in obtaining Dyson orbitals for application in studies of chemical reactivity.
Robert C. Morrison
wiley   +1 more source

Ultrabroadband and Highly Sensitive Short‐Wave Infrared Molecular Fingerprinting via Acoustic MXene Plasmons

Advanced Science, Volume 13, Issue 38, 9 July 2026.
Acoustic plasmons in Ti3C2Tx MXene strongly compress infrared electromagnetic fields and enhance light–matter interactions at the nanoscale. This platform couples broadband plasmon excitations with molecular vibrations, enabling simultaneous sensing of high‐ and low‐frequency vibrational modes in ultrathin PMMA and graphene oxide films, and extending ...
Changhoon Park, Jisung Kwon, Nu‐Ri Park, Hyerim Kim, Hyeju Kim, Yury Gogotsi, Chong Min Koo, Myung‐Ki Kim   +7 more
wiley   +1 more source

Finite difference approximation of electron balance problem in the stationary high-frequency induction discharges

MATEC Web of Conferences, 2017
The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I., Solov´ev Pavel S., Chebakova Violetta Yu.   +2 more
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, Volume 75, Issue 3, Page 1287-1297, July 2026.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Asymptotics of the spectrum of inhomogeneous plate with light-weight stiff inclusions(in Ukrainian) [PDF]

Математичні Студії, 2013
The Dirichlet spectral problem for an elliptic operator of the fourthorder with singularly perturbed coefficients is considered.The problem describes the eigenmodes of a plate with finite number ofthe stiff and light-weight inclusions of an arbitrary ...
V. M. Hut, Yu. D. Golovaty
doaj  

Ground State for the Schrödinger Operator with the Weighted Hardy Potential

International Journal of Differential Equations, 2011
We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
doaj   +1 more source

Surface‐guided analysis of breast shape changes during postoperative radiotherapy by using a functional map framework

Medical Physics, Volume 53, Issue 7, July 2026.
Abstract BackgroundWhile positioning errors during radiotherapy are increasingly well‐characterized and accounted for in the Planning Target Volume (PTV), little is known about the shape and volume changes of the breast in the course of radiotherapy. Yet they represent an unknown factor that may impact treatment effectiveness, highlighting the need to ...
Pierre Galmiche, Hyewon Seo, Yvan Pin, Philippe Meyer, Georges Noël, Michel De Mathelin   +5 more
wiley   +1 more source

Facile and Efficient Synthesis of Dual‐Defect NiFe Layered Double Hydroxides for Enhanced Oxygen Evolution Reaction

Rare Metals, Volume 45, Issue 7, July 2026.
ABSTRACT In electrocatalysis, traditional single‐atom catalysts (SACs) face challenges in achieving coordinated control of reaction pathways due to limitations such as single local energy levels and carrier recombination. By introducing an additional defect structure, it is possible to break the electronic structure symmetry, thereby activating SACs ...
Juanjuan Huo, Riyue Ge, Yuhai Dou, Porun Liu, Wenxing Chen, Hua Kun Liu, Ting Liao, Ziqi Sun, Ding Yuan   +8 more
wiley   +1 more source

Adaptation of Iterative Supervirtual Interferometry for Enhancing Higher Modes From Surface Waves

Geophysical Prospecting, Volume 74, Issue 6, July 2026.
ABSTRACT For geotechnical applications, surface‐wave methods are one of the most important techniques for gathering information about the strength of the near surface, but these methods are sensitive to noise. Often only the fundamental mode is considered, but higher modes can also provide more information on deeper parts of the subsurface.
Sverre Hassing, Deyan Draganov, Eric Verschuur   +2 more
wiley   +1 more source

When is the first eigenfunction for the clamped plate equation of fixed sign?

Electronic Journal of Differential Equations, 2001
It is known that the first eigenfunction of the clamped plate equation, $Delta^2 varphi = lambda varphi$ in $Omega$ with $varphi=frac{partial}{partial n}varphi=0$ on $partialOmega$, is not necessarily of fixed sign.
Guido Sweers
doaj