Results 71 to 80 of about 408,199 (314)

Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential

Boundary Value Problems, 2023
We provide estimates for the eigenvalues of non-self-adjoint Sturm–Liouville operators with Dirichlet boundary conditions for a shift of the special potential 4 cos 2 x + 4 i V sin 2 x $4\cos ^{2}x+4iV\sin 2x$ that is a PT-symmetric optical potential ...
Cemile Nur
doaj   +1 more source

An integral method for solving nonlinear eigenvalue problems

, 2010
We propose a numerical method for computing all eigenvalues (and the corresponding eigenvectors) of a nonlinear holomorphic eigenvalue problem that lie within a given contour in the complex plane.
A. Jentzen, A. Jentzen, B. Øksendal, C.T.H. Baker, D.B. Hernández, D.J. Higham, D.J. Higham, E. Buckwar, E. Buckwar, E. Buckwar, E. Buckwar, E. Hairer, G.G. Dahlquist, G.N. Milstein, G.N. Milstein, H.J. Stetter, J.M.C. Clark, L. Arnold, M. Hutzenthaler, M. Wiktorsson, M.B. Giles, M.B. Giles, M.N. Spijker, P.D. Lax, P.E. Kloeden, P.E. Kloeden, R. Kruse, R. Winkler, R.D. Grigorieff, Raphael Kruse, T. Rydén, W.J. Beyn, X. Mao   +32 more
core   +1 more source

Néel Tensor Torque in Polycrystalline Antiferromagnets

Advanced Materials, EarlyView.
This work introduces a Néel tensor torque based on a rank‐two symmetric tensor capturing spin correlations in a polycrystalline antiferromagnet. It shows the Néel tensor can be shaped and reshaped through the spin‐orbit torque (SOT) technique, enabling field‐free SOT switching with a specific polarity of the adjacent ferromagnet. This discovery opens a
Chao‐Yao Yang, Sheng‐Huai Chen, Chih‐Hsiang Tseng, Hsiu‐Hau Lin, Chih‐Huang Lai   +4 more
wiley   +1 more source

Complex random matrices have no real eigenvalues [PDF]

Random Matrices: Theory and Applications, 2018
Let [Formula: see text] where [Formula: see text] are iid copies of a mean zero, variance one, subgaussian random variable. Let [Formula: see text] be an [Formula: see text] random matrix with entries that are iid copies of [Formula: see text]. We prove that there exists a [Formula: see text] such that the probability that [Formula: see text] has any ...
openaire   +2 more sources

Lattice Structures for Bone Replacement: The Intersection of Bone Biomechanics, Lattice Design, and Additive Manufacturing

Advanced Materials Technologies, EarlyView.
This review outlines how understanding bone's biology, hierarchical architecture, and mechanical anisotropy informs the design of lattice structures that replicate bone morphology and mechanical behavior. Additive manufacturing enables the fabrication of orthopedic implants that incorporate such structures using a range of engineering materials ...
Stylianos Kechagias, Maxwell J. Munford, Frederik C.H. Masure, Richard J. van Arkel, Reece N Oosterbeek   +4 more
wiley   +1 more source

Some Results on Complex Toeplitz Eigenvalues

Journal of Mathematical Analysis and Applications, 1999
The asymptotic behavior of the eigenvalues of Toeplitz matrices generated by a complex valued symbol \(f\) are considered. If the range of \(f\) has an empty interior and does not separate the complex plane, then the Toeplitz eigenvalues have the canonical distribution. The clustering properties of the eigenvalues are discussed.
openaire   +3 more sources

Photonics of Topological Magnetic Textures

Advanced Optical Materials, EarlyView.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri, Ramaz Khomeriki, Daniel Erni, Nicolas Tsagareli, Qian Li, Douglas H. Werner, Jamal Berakdar   +6 more
wiley   +1 more source

Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem

Mathematics
The eigenvalues of complex q-Sturm–Liouville boundary value problems are the focus of this paper. The coefficients of the corresponding q-Sturm–Liouville equation provide the lower bounds on the real parts of all eigenvalues, and the real part of the ...
Xiaoxue Han
doaj   +1 more source

Statistics of S-matrix poles for chaotic systems with broken time reversal invariance: a conjecture

, 1998
In the framework of a random matrix description of chaotic quantum scattering the positions of $S-$matrix poles are given by complex eigenvalues $Z_i$ of an effective non-Hermitian random-matrix Hamiltonian.
A. Edelman, B. L. Altshuler, C. E. Porter, F. Haake, H. J. Stöckmann, H.-J. Sommers, Hans-Jürgen Sommers, J. Ginibre, J. J. M. Verbaarschot, K. B. Efetov, M. A. Halasz, Mikhail Titov, N. Hatano, N. Lehmann, N. Lehmann, O. Bohigas, R. Blumel, S. Drozdz, T. Gorin, V. A. Mandelshtam, V. V. Sokolov, V. V. Sokolov, W. H. Miller, W. John, Y. Alhassid, Y. V. Fyodorov, Y. V. Fyodorov, Y. V. Fyodorov, Y. V. Fyodorov, Yan V. Fyodorov   +29 more
core   +1 more source

Effect of Host Anisotropy on Phosphorescent Emitter Orientation and Light Outcoupling in OLEDs

Advanced Optical Materials, EarlyView.
The orientation of the emissive transition dipole moment of a cage‐type Iridium complex can be tuned by the anisotropic alignment of the cohost material, which is expressed as the S$S$ parameter of the film. Thus, the external quantum efficiency of OLEDs can be further enhanced to reach values above 30%.
Bình‐Minh Nguyễn, Jonas Kröber, Philipp Schütz, Klaus Ruhland, Falk May, Wolfgang Brütting   +5 more
wiley   +1 more source