Results 101 to 110 of about 871,744 (361)
Dependence of eigenvalues of 2mth-order spectral problems
Boundary Value Problems, 2017 A regular 2mth-order spectral problem with self-adjoint boundary conditions is considered in this paper. The continuous dependence of eigenvalues and normalized eigenfunctions on the problem is researched.
Zhaowen Zheng, Yujuan Ma
doaj +1 more source
Advanced Optical Materials, EarlyView.This work quantifies chirality through the continuous chirality measure (CCM). The CCM is correlated to a variety of properties: spin‐orbit field, orbital angular momentum, circular dichroism, absorption dissymmetry factor (gCD) and the circular photogalvanic effect.
Andrew Grieder, Shihao Tu, Yuan Ping
wiley +1 more source
The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates [PDF]
, 2013 When finding the nonzero eigenvalues for Hamiltonian eigenvalue problems it is especially important to locate not only the unstable eigenvalues (i.e., those with positive real part), but also those which are purely imaginary but have negative Krein ...
Kapitula, Todd +2 more
core
Dark‐State Guided‐Mode Resonance Sensors: Engineering Miniature Sensing Platforms
Advanced Optical Materials, EarlyView.This research introduces compact guided‐mode resonance sensing using Gaussian‐beam‐induced symmetry breaking to excite dark states. The method generates high‐quality resonance signals in a small area, demonstrating a sensor with 128 micro‐cells and 200 nm RIU−1 sensitivity, showing potential for lab‐on‐chip and biosensing applications.
Yeong Hwan Ko +2 more
wiley +1 more source
Randi'c incidence energy of graphs [PDF]
Transactions on Combinatorics, 2014 Let $G$ be a simple graph with vertex set $V(G) = {v_1, v_2,ldots , v_n}$ and edge set $E(G) = {e_1, e_2,ldots , e_m}$. Similar to the Randi'c matrix, here we introduce the Randi'c incidence matrix of a graph $G$, denoted by $I_R(G)$, which is defined
Ran Gu, Fei Huang, Xueliang Li
doaj
Persistent Luminescence Analysis in the Frequency Domain
Advanced Optical Materials, EarlyView.A frequency‐domain framework is introduced to characterize persistent luminescence materials. This method surpasses the limitations of time‐domain techniques and provides a new approach to understanding and optimizing the photophysical behavior of complex luminescent systems involving processes with different temporal dynamics.
Manuel Romero +4 more
wiley +1 more source
Novel concepts in linear Diophantine fuzzy graphs with an application [PDF]
Proceedings of the Estonian Academy of SciencesThe linear Diophantine fuzzy graph (LDFG) notion serves as a new mathematical approach for the ambiguity and uncertainty modeling in decision-making issues. An LDFG eliminates the strict limitations of various existing graphs. The energy concept in graph
Xiaolong Shi +3 more
doaj +1 more source
On the eigenvalues and Seidel eigenvalues of chain graphs
Discrete Applied MathematicsIn this paper we consider the eigenvalues and the Seidel eigenvalues of a chain graph. An$\dbar$elić, da Fonseca, Simić, and Du \cite{andelic2020tridiagonal} conjectured that there do not exist non-isomorphic cospectral chain graphs with respect to the adjacency spectrum. Here we disprove this conjecture.
Zhuang Xiong, Yaoping Hou
openaire +2 more sources
Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective
Advanced Photonics Research, EarlyView.This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen +6 more
wiley +1 more source