Results 41 to 50 of about 588,164 (168)

On Eigenvalue spacings for the 1-D Anderson model with singular site distribution

, 2013
We study eigenvalue spacings and local eigenvalue statistics for 1D lattice Schrodinger operators with Holder regular potential, obtaining a version of Minami's inequality and Poisson statistics for the local eigenvalue spacings.
C. Shubin, J. Bourgain, J.-M. Combes, Ph. Bougerol, R. Carmona   +4 more
core   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Quasi-isospectrality on quantum graphs [PDF]

, 2014
Consider two quantum graphs with the standard Laplace operator and non-Robin type boundary conditions at all vertices. We show that if their eigenvalue-spectra agree everywhere aside from a sufficiently sparse set, then the eigenvalue-spectra and the ...
Rueckriemen, Ralf
core  

Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films

Advanced Functional Materials, EarlyView.
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram, Sophie Meißner, Stephan Kümmel   +2 more
wiley   +1 more source

On Trees as Star Complements in Regular Graphs

Discussiones Mathematicae Graph Theory, 2020
Let G be a connected r-regular graph (r ---gt--- 3) of order n with a tree of order t as a star complement for an eigenvalue µ ∉ {−1, 0}. It is shown that n ≤ 1/2 (r + 1)t − 2. Equality holds when G is the complement of the Clebsch graph (with µ = 1, r =
Rowlinson Peter
doaj   +1 more source

Intermolecular Interactions as Driving Force of Increasing Multiphoton Absorption in a Perylene Diimide‐Based Coordination Polymer

Advanced Functional Materials, EarlyView.
This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger, Anna Mauri, Yang Cui, Sebastian Josef Weishäupl, Ali Deniz Özdemir, Hamad Syed, Aleksandr Ovsianikov, Wolfgang Wenzel, Alexander Pöthig, Jürgen Hauer, Mariana Kozlowska, Roland Augustinus Fischer   +11 more
wiley   +1 more source

An eigenvalue estimate for self-shrinkers in a Ricci shrinker

Advanced Nonlinear Studies
In this paper, we study the drifted Laplacian Δf on a hypersurface M in a Ricci shrinker (M̄,g,f) $\left(\bar{M},g,f\right)$ . We prove that the spectrum of Δf is discrete for immersed hypersurfaces with bounded weighted mean curvature in a Ricci ...
Conrado Franciele, Zhou Detang
doaj   +1 more source

BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite
L.M. Eneeva
doaj   +1 more source

The Largest Laplacian and Signless Laplacian H-Eigenvalues of a Uniform Hypergraph [PDF]

, 2013
In this paper, we show that the largest Laplacian H-eigenvalue of a $k$-uniform nontrivial hypergraph is strictly larger than the maximum degree when $k$ is even. A tight lower bound for this eigenvalue is given.
Hu, Shenglong, Qi, Liqun, Xie, Jinshan
core  

Right eigenvalue equation in quaternionic quantum mechanics

, 2000
We study the right eigenvalue equation for quaternionic and complex linear matrix operators defined in n-dimensional quaternionic vector spaces. For quaternionic linear operators the eigenvalue spectrum consists of n complex values.
Adler S L, Aslaksen H, Brenner J L, Cohen N, Cohn P M, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, Dixon G M, Dray T, Ducati G Quaternions in mathematics, Finkelstein D, Finkelstein D, Finkelstein D, Finkelstein D, Giuseppe Scolarici, Gürsey F, Hamilton W R, Hamilton W R, Horwitz L P, Lee H C, Rembielinski J, Scolarici G, Stefano De Leo   +36 more
core   +2 more sources