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...
We provide general theorems on the topology of photon-mediated interactions in terms of both Hermitian and non-Hermitian topological invariants, unveiling the phenomena of topological preservation and reversal, and revealing a system-bath topological correspondence. Depending on the Hermiticity of the ...
We investigate the scattering properties of a parity-time-antisymmetric non-Hermitian system. The parity-time-antisymmetric scattering center possesses ima... L Jin - 《Physical Review A》 被引量: 0发表: 2018年 Excitations and Interactions in d=1 String Theory We discuss the singlet sector of ...
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
非厄米算符(Non-Hermitian Operator):开放系统、非平衡态系统、耗散系统mp.weixin.qq.com/s?__biz=MzU0MTM2ODA1NA==&mid=2247496609&idx=1&sn=76e8317832d3d6ceb067e8b06571b226&chksm=fb29b838cc5e312eb36a811de7a08755e542b209b91d67ae0ff34f4d2aead46e2e1646adfabc&token=2121934921&lang=zh_CN...
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems SIAM J. Matrix Anal. Appl., 24 (2003), pp. 603-626 View in ScopusGoogle Scholar [6] Z.-Z. Bai, G.H. Golub, J.-Y. Pan Preconditioned Hermitian and skew-Hermitian splitting methods for non-...
Nearly one century after the birth of quantum mechanics, parity–time symmetry is revolutionizing and extending quantum theories to include a unique family of non-Hermitian Hamiltonians. While conceptually striking, experimental demonstration of parity–time symmetry remains unexplored in quantum electronic ...
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;...
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) ...