Results 81 to 90 of about 5,290,216 (250)

Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We study the eigenvalue problem −u''+V(z)u=λu in the complex plane with the boundary condition that u(z) decays to zero as z tends to infinity along the two rays arg z=−π/2± 2π(m+2), where V(z)=−(iz)^m−P(iz) for complex-valued polynomials P of degree at ...
Kwang C. Shin
doaj   +1 more source

Uniform approximation of eigenvalues in Laguerre and Hermite beta-ensembles by roots of orthogonal polynomials [PDF]

We derive strong uniform approximations for the eigenvalues in general Laguerre and Hermite beta-ensembles by showing that the maximal discrepancy between the suitably scaled eigenvalues and roots of orthogonal polynomials converges almost surely to zero
Dette, Holger, Imhof, Lorens A.
core  

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

Advanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang, Pengyi Feng, Fei Han, Weijin Chen, Zhongwei Jin, Jincheng Ni, Yuanjie Yang, Anxue Zhang, Guy A. E. Vandenbosch, Niels Verellen, Ewald Janssens, Jiafu Wang, Benfeng Bai, Cheng‐Wei Qiu, Xuezhi Zheng   +14 more
wiley   +1 more source

Laplacian eigenvalues of independence complexes via additive compound matrices

Discrete Analysis
Laplacian eigenvalues of independence complexes via additive compound matrices, Discrete Analysis 2024:15, 17 pp. The (Laplacian) spectral gap of a graph, defined as the second smallest eigenvalue of the graph's Laplacian matrix, is an important ...
Alan Lew
doaj   +1 more source

An Algorithm to Construct a Tridiagonal Matrix Factored by Bidiagonal Matrices with Prescribed Eigenvalues and Specified Entries

Journal of Mathematical and Fundamental Sciences
This paper presents an algorithm to construct a tridiagonal matrix factored by bidiagonal matrices with prescribed eigenvalues and specified matrix entries.
Koichi Kondo
doaj   +1 more source

On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems

Abstract and Applied Analysis, 2014
The paper is concerned with eigenvalues of complex Sturm-Liouville boundary value problems. Lower bounds on the real parts of all eigenvalues are given in terms of the coefficients of the corresponding equation and the bound on the imaginary part of each
Wenwen Jian, Huaqing Sun
doaj   +1 more source

Coexisting Volatile and Nonvolatile Switching in 3D ALD‐IGZO Vertical RRAM for Fully Hardware‐Based Wide Reservoir Computing

Advanced Science, EarlyView.
A conformal ALD‐IGZO vertical RRAM integrates volatile and nonvolatile switching within a compact 2F architecture. Before forming, tunable volatile dynamics provide fading‐memory reservoir states, while after forming, stable multilevel conductance modulation enables hardware readout.
Seeun Lee, Jaewon Park, Nawoon Kim, Seohyeon Ju, Seong‐Cheol Jang, Hyun‐Suk Kim, Sungjun Kim   +6 more
wiley   +1 more source

Perceived Time Shapes Physical Fatigue Accumulation and Its Neural Oscillatory Correlates

Advanced Science, EarlyView.
Can a clock change the course of physical fatigue? By covertly manipulating the clock calibration during repeated isometric contractions, we showed that perceived time shapes fatigue accumulation and frontal oscillatory dynamics. While fatigue accumulation was only reduced when the clock was slowed down, frontal oscillatory dynamics followed perceived ...
Pierre‐Marie Matta, Julien Duclay, Robin Baurès, Andrea Alamia   +3 more
wiley   +1 more source

Anomalous Non-Hermitian Open-Boundary Spectrum

Entropy
For a long time, it was presumed that continuum bands could be readily encompassed by open-boundary spectra, irrespective of the system’s modest dimensions. However, our findings reveal a nuanced picture: under open-boundary conditions, the proliferation
Xi-Xi Bao, Gang-Feng Guo, Lei Tan, Wu-Ming Liu   +3 more
doaj   +1 more source

A Magnetic‐Driven Self‐Rotation‐Stabilized Miniature Swimming Robot

Advanced Science, EarlyView.
Inspired by the stable rotational descent of seeds in nature, this study designs a magnetic‐driven self‐rotation‐stabilized miniature swimming robot (MSMSR). Based on a resonance‐driven strategy, the robot exhibits high swimming performance, offering enhanced directional swimming and improved resistance to water flow disturbances compared to existing ...
Fujun Wang, Chuhan Zhang, Hao Zhang, Yanling Tian, Cunman Liang   +4 more
wiley   +1 more source