Results 61 to 70 of about 808,768 (351)

Perturbations of embedded eigenvalues for the planar bilaplacian

open access: yesJournal of Functional Analysis, 2011
Operators on unbounded domains may acquire eigenvalues that are embedded in the essential spectrum. Determining the fate of these embedded eigenvalues under small perturbations of the underlying operator is a challenging task, and the persistence properties of such eigenvalues is linked intimately to the multiplicity of the essential spectrum.
Derks, G, Maad Sasane, S, Sandstede, B
openaire   +5 more sources

Ellipticity‐Controlled Exceptional Points and Cross‐Polarized Phase Singularities in Multi‐Layer Silicon Guided Mode Resonant Metasurfaces

open access: yesAdvanced Optical Materials, EarlyView.
Omni‐polarizers that pull all input polarization states to an elliptical or linear polarization can be made using highly resonant bi‐layer metasurfaces. The ellipticity of the selected polarization can be controlled by choosing the layer separation.
Ben Goldberg   +2 more
wiley   +1 more source

The Hydrogen Atom in Strong Electric Fields: Summation of the Weak Field Series Expansion

open access: yes, 1995
The order dependent mapping method, its convergence has recently been proven for the energy eigenvalue of the anharmonic oscillator, is applied to re-sum the standard perturbation series for Stark effect of the hydrogen atom.
Alexander   +22 more
core   +2 more sources

Hierarchical Prediction and Perturbation of Chromatin Organization Reveal How Loop Domains Mediate Higher‐Order Architectures

open access: yesAdvanced Science, EarlyView.
HiCGen introduces a hierarchical deep learning framework to predict genome organization across spatial scales using DNA sequences and genomic features. The model enables cross‐cell‐type predictions and in silico perturbation analysis, revealing correlations between loop domains and higher‐order structures.
Jiachen Wei, Yue Xue, Yi Qin Gao
wiley   +1 more source

Beyond Perturbation: Introduction to the Homotopy Analysis Method

open access: yes, 2003
PART I BASIC IDEAS Introduction Illustrative Description Systematic Description Relations to Some Previous Analytic Methods Advantages, Limitations, and Open Questions PART II APPLICATIONS Simple Bifurcation of a Nonlinear Problem Multiple Solutions of a
S. Liao, S. Sherif
semanticscholar   +1 more source

Perturbation thèorems for the generalized eigenvalue problem

open access: yesLinear Algebra and its Applications, 1982
AbstractGiven a matrix pair Z = (A, B), the perturbation of its eigenvalues (α, β) is studied. Considering two pairs Z, W as points of the Grassman manifold Gn, 2n and its eigenvalues as points in G1, 2, the projective complex plane, the distance of the spectra, measured in the chordal metric in G1, 2, is bounded by some distance of the matrix pairs in
Elsner, Ludwig, Sun, Ji-Guang
openaire   +3 more sources

Quantum Geometric Engineering of Dual Hall Effects in 2D Antiferromagnetic Bilayers via Interlayer Magnetic Coupling

open access: yesAdvanced Science, EarlyView.
Precise tuning of interlayer magnetic coupling in two‐dimensional bilayers enables control over altermagnetic and PT‐symmetric antiferromagnetic phases. This dual‐phase platform yields two intrinsic Hall responses: a Berry curvature–driven linear anomalous Hall effect and a quantum metric–induced second‐order nonlinear anomalous Hall effect ...
Zhenning Sun   +5 more
wiley   +1 more source

Teoría de perturbaciones de Brillouin-Wigner: Oscilador armónico perturbado

open access: yesMomento, 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
doaj  

ON CALCULATION OF MULTIPLE EIGENVALUES OF THE LINEAR OPERATOR-FUNCTION BY REDUCTION PSEUDO-PERTURBATION METHODS

open access: yesInternational 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
doaj   +1 more source

Nodal count of graph eigenfunctions via magnetic perturbation

open access: yes, 2011
We establish a connection between the stability of an eigenvalue under a magnetic perturbation and the number of zeros of the corresponding eigenfunction. Namely, we consider an eigenfunction of discrete Laplacian on a graph and count the number of edges
Band   +10 more
core   +1 more source

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