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EIGENVALUES: 作品数：304被引量：228H指数：7; 导出分析报告; 相关领域：理学更多>>; 相关作者：曹重光梁浩王赤黄滨邓次平更多>>; 相关机构：中国科学技术大学黑龙江大学华东师范大学合肥工业大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

Some Eigenvalue Properties of Third-order Boundary Value Problems with Distributional Potentials: 《Acta Mathematicae Applicatae Sinica》2025年第1期179-199,共21页Hai-yan ZHANG Ji-jun AO; supported by National Natural Science Foundation of China(No.12261066);the Natural Science Foundation of Inner Mongolia(No.2021MS01020 and No.2023LHMS01015).; Several eigenvalue properties of the third-order boundary value problems with distributional potentials are investigated.Firstly,we prove that the operators associated with the problems are self-adjoint and the corres...; 关键词：third-order boundary value problems distributional potentials quasi-derivatives EIGENVALUES

Technique for studying the coalescence of eigenstates and eigenvalues in non-Hermitian systems: 《Frontiers of physics》2025年第1期205-228,共24页Seyed Mohammad Hosseiny Hossein Rangani Jahromi Babak Farajollahi Mahdi Amniat-Talab; In our study,we explore high-order exceptional points(EPs),which are crucial for enhancing the sensitivity of open physical systems to external changes.We utilize the Hilbert-Schmidt speed(HSS),a measure of quantum st...; 关键词：non-Hermitian physics exceptional points Hilbert-Schmidt speed quantum statistical speed

Eigenvalues of Second-Order Left-Definite Linear Difference Operator with Spectral Parameters in Boundary Conditions: 《Chinese Annals of Mathematics,Series B》2024年第6期905-926,共22页Chenghua GAO Jingjing WANG Xiaobin YAO Xueqin CAO; supported by the National Natural Science Foundation of China(Nos.12461039,12161071);the Doctoral Research Fund Project of Lanzhou City University(No.LZCU-BS2023-24);the Youth Fund Project of Lanzhou City University(No.LZCU-QN2023-09);Gansu Youth Science and Technology Fund Project(No.24JRRA536);the Discipline Construction Project of Lanzhou City University.; In this paper,the authors consider the spectra of second-order left-definite d-ifference operator with linear spectral parameters in two boundary conditions.First,they obtain the exact number of this kind of eigenvalu...; 关键词：Left-definite difference operator Boundary conditions with spectral pa-rameters Interlacing properties Oscillation properties

Eigenvalues for the Clamped Plate Problem of L_(ν)^(2) Operator on Complete Riemannian Manifolds: 《Acta Mathematica Sinica,English Series》2024年第9期2223-2243,共21页Ling Zhong ZENG; Supported by the National Natural Science Foundation of China(Grant Nos.11861036 and 11826213);the Natural Science Foundation of Jiangxi Province(Grant No.20224BAB201002)。; L_(ν) operator is an important extrinsic differential operator of divergence type and has profound geometric settings.In this paper,we consider the clamped plate problem of L_(ν)^(2)operator on a bounded domain of t...; 关键词：Mean curvature flows L_(ν)^(2)operator clamped plate problem EIGENVALUES Riemannian manifolds translating solitons

Triangle-free Graphs with Three Positive Eigenvalues: 《Algebra Colloquium》2024年第3期525-540,共16页Fang Duan; Supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region(No.2022D01A218);the Doctoral Scientific Research Foundation of Xinjiang Normal University(No.XJNUBS2009).; A graph G is called triangle-free if G does not contain any triangle as its induced subgraph.Let G_(n)be the set of triangle-free graphs of order n each of which has three positive eigenvalues.In this paper,we find 20...; 关键词：positive(negative)inertia index NULLITY triangle-free graph

A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem onImplicit Surfaces: 《Communications on Applied Mathematics and Computation》2024年第2期1189-1216,共28页Young Kyu Lee Shingyu Leung; supported in part by the Hong Kong RGC 16302223.; We propose a simple embedding method for computing the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on implicit surfaces.The approach follows an embedding approach for solving the surface eikonal eq...; 关键词：Laplace-Beltrami operator Level set method Implicit representation EIGENVALUES Numerical PDEs

A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator被引量：1: 《Journal of Systems Science & Complexity》2024年第2期391-412,共22页GUO Yixiao MING Pingbing; supported by the National Natural Science Foundation of China under Grant Nos.12371438 and 12326336.; The authors present a novel deep learning method for computing eigenvalues of the fractional Schrödinger operator.The proposed approach combines a newly developed loss function with an innovative neural network archit...; 关键词：Eigenvalue problem deep learning fractional Schrödinger operator isospectral problem

Real eigenvalues determined by recursion of eigenstates: 《Chinese Physics B》2024年第3期196-200,共5页刘通王友国; This work was supported by the National Natural Science Foundation of China(Grant No.62071248);the Natural Science Foundation of Nanjing University of Posts and Telecommunications(Grant No.NY223109);China Postdoctoral Science Foundation(Grant No.2022M721693).; Quantum physics is primarily concerned with real eigenvalues,stemming from the unitarity of time evolutions.With the introduction of PT symmetry,a widely accepted consensus is that,even if the Hamiltonian of the syste...; 关键词：real eigenvalues NON-HERMITIAN QUASIPERIODIC

On the eigenvalues and eigendisplacement of the critical mode in horizontally layered media: 《Earthquake Science》2024年第1期13-35,共23页Shaotong Wang Laiyu Lu; supported by the National Natural Science Foundation of China(No.U1839209).; Wave propagation in horizontally layered media is a classical problem in seismic-wave theory.In semi-infinite space,a nondispersive Rayleigh wave mode exists,and the eigendisplacement decays exponentially with depth.I...; 关键词：dispersion curve EIGENVALUE generalized reflection and transmission coefficient surface wave guide wave

Efficient method to calculate the eigenvalues of the Zakharov–Shabat system: 《Chinese Physics B》2024年第1期243-249,共7页崔世坤王振; Project supported by the National Natural Science Foundation of China (Grant Nos.52171251,U2106225,and 52231011);Dalian Science and Technology Innovation Fund (Grant No.2022JJ12GX036)。; A numerical method is proposed to calculate the eigenvalues of the Zakharov–Shabat system based on Chebyshev polynomials. A mapping in the form of tanh(ax) is constructed according to the asymptotic of the potential ...; 关键词：Zakharov–Shabat system EIGENVALUE numerical method Chebyshev polynomials

EIGENVALUES