This work concerns two distinct areas of random matrix theory: the linear statistics of random matrics, and the eigenvectors of random matrices. First, we consider the linear statistics of independent entry matices, establishing two separate central limit theorems for ensembles with real normal entries...
Hermitian and Non-Hermitian Dirac-Like Cones in Photonic and Phononic Structures 来自 Semantic Scholar 喜欢 0 阅读量: 4 作者:J Luo,Y Lai 摘要: Accidental degeneracy plays an important role in the generation of novel band dispersions. Photonic structures that exhibit an accidental Dirac-like ...
Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation We consider the interaction between the Hermitian world, represented by a real delta-function potential -\\alpha\\delta(x) -\\alpha\\delta(x) , and the non... Jones,F H. - 《Physical Review D Particles & Fi...
辞典例句 Four necessary and sufficient conditions forHermitianmatrix were obtained by using similar real symmetry matrix. 本文用类似于实对称矩阵的研究方法,得到了Hermite矩阵的4个等价条件. 互联网 The ABLE method can be used to compute eigentriplets of large scale non -Hermitianmatrices. ...
非厄米诱导序
Hs,a(+−)(t)=η(t)Hs(t)+idη(t)dt−Hs,a(++)(t)η(t)Hs,a(−+)(t)=Hs†(t)η†(t)−idη†(t)dt−η†(t)Hs,a(++)(t)Hs,a(−−)(t)=Hs(t)−[Hs†(t)η†(t)−idη†(t)dt−η†(t)Hs,a(++)(t)]η(t) (8) ...
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems SIAM J. Matrix Anal. Appl., 24 (2003), pp. 603-626 Google Scholar [6] Z.-Z. Bai, G.H. Golub, J.-Y. Pan Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positiv...
U_{rot} (\sigma_{x}\otimes|0>_{n}<0|) U_{rot}^{\dagger}\\ =\{cos[\omega_{MW2}t-\int_{0}^{t}2A_{4}(\tau)d\tau]\sigma_{x}+sin[\omega_{MW2}t-\int_{0}^{t}2A_{4}(\tau)d\tau]\sigma_{y}\}\otimes|0>_{n}<0| ...
Let R∈ C n×n be a nontrivial unitary involution; i.e., R=R =R 1≠±I. We say that A∈ C n×n is R-symmetric ( R-skew symmetric) if RAR= A ( RAR= A). Let S be one of the following subsets of C n×n: (i) hermitian matrices; (ii) hermitian R-symmetric matrices;...
Skin effect, experimentally discovered in one dimension, describes the physical phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian hamiltonian are localized at the end(s) of the chain. Here in two and higher dimensions, we establish a theorem that the skin...