Results 51 to 60 of about 6,302 (292)
Eigenvalues of perturbed Hermitian matrices
Linear Algebra and its Applications, 1974 AbstractIt is a common experience that the perturbation, or even the omission, of some elements of a matrix often has negligible effect on some of the eigenvalues of the whole matrix. Here some new theorems are presented on this isolation effect in Hermitian matrices.
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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
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Teoría de perturbaciones de Brillouin-Wigner: Oscilador armónico perturbado
Momento, 1993 An harmonic oscillator is subject to a perturbation [Physical Formula] where [Physical Formula] is an eigenket of the momentum operator. The Brillouin-Wigner perturbation theory is applied to solve the eigenvalue equation of the perturbed Hamiltonian.
D. Campos
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International Islamic University Malaysia Engineering Journal, 2013 : In this article, methods of theory of bifurcations, applies to the problem of retaining of the approximately given multiple eigenvalues and their generalized eigenvectors.
Rakhimov Davran Ganievich
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An Approach of Eigenvalue Perturbation Theory [PDF]
Applied Numerical Analysis & Computational Mathematics, 2005 The eigenvalue problem of the form \((A+\varepsilon B)\phi(\varepsilon)= \lambda(\varepsilon) \phi(\varepsilon)\) is considered, where \(A, B\) are matrices, or more generally, differential operators. If \(A\) is selfadjoint and the eigenvalue \(\lambda(0)\) of \(A\) is simple, it is shown that \(\lambda(\varepsilon)\) has a power series expansion ...
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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
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Perturbing eigenvalues of nonnegative matrices
Linear Algebra and its Applications, 2016 Let $A$ be an irreducible (entrywise) nonnegative $n\times n$ matrix with eigenvalues $$ , b+ic,b-ic, _4,\cdots, _n,$$ where $ $ is the Perron eigenvalue. It is shown that for any $t \in [0, \infty)$ there is a nonnegative matrix with eigenvalues $$ + \tilde t, _2+t, _3+t, _4 \cdots, _n,$$ whenever $\tilde t \ge _n t$ with $ _3=1, _4 ...
Xuefeng Wang +2 more
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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
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Analysis of Semi-Blind Channel Estimation in Multiuser Massive MIMO Systems With Perturbations
IEEE Access, 2019 In the massive multiple-input multiple-output (MIMO) systems, pilot contamination and signal perturbation are two important issues in the semi-blind channel estimation methods.
Cheng Hu, Hong Wang, Rongfang Song
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Modal Theory of Phase‐Modulated and Frequency‐Shifting Ring Cavities
Advanced Photonics Research, EarlyView.We present a theoretical and experimental characterization of the optical modes of dispersionless ring cavities with phase modulators or frequency shifters. Their response to arbitrary modulation acts as a filter for phase‐modulated modes that determine the optical output of passive resonators and lasers. This provides a general framework for analyzing
Miguel Cuenca +2 more
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