The spectral form factor(SFF)can probe the eigenvalue statistic at different energy scales as its time variable varies.In closed quantum chaotic systems,the SFF exhibits a universal dip-ramp-plateau behavior,which ref...
Let G be a graph and A(G) the adjacency matrix of G. The spectrum of G is the eigenvalues together with their multiplicities of A(G). Chang et al. (2011) characterized the structures of all graphs with rank 4. Monsalv...
In this paper, we consider the norms related to spectral geometric means and geometric means. When A and B are positive and invertible, we have ||A-1#B|| ≤ ||A-1σsB||. Let H be a Hil...
Project supported by the National Key Research and Development Program of China(Grant No.2016YFB0701002);the National Natural Science Foundation of China(Grant Nos.61621001 and 61605069);the MOE Key Laboratory of Advanced Micro-Structured Materials,China
Pr^3+-doped calcium niobium gallium garnet(Pr:CNGG)single crystals with different Pr^3+concentrations are successfully grown by the micro-pulling-down(μ-PD)method.The crystal structure,room-temperature absorption spe...
supported by the National Natural Science Foundation of China(Nos.61875026 and 61505017);the Foundation and Cutting-Edge Research Projects of the Chongqing Science and Technology Commission(No.cstc2018jcyjAX0122);the Graduate Student Innovation Program of the Chongqing University of Technology(No.ycx2018238)
We demonstrate a fiber refractive index(RI) sensor based on an excessively tilted fiber grating(ExTFG)immobilized by large-size plasmonic gold nanoshells(GNSs). The GNSs are covalently linked on ExTFG surface.Ex...
Project supported by the National Natural Science Foundation of China(Grant No.61621001);the National Key Research and Development Program of China(Grant Nos.2016YFB1102202 and 2016YFB0701002);the Fundamental Research Funds for the Central Universities,China;the help of MOE Key Laboratory of Advanced Micro-Structured Materials and School of Physical Science and Technology,Guangxi University
The crystal growth,x-ray diffraction pattern,absorption spectrum,emission spectrum,and fluorescence lifetime of a Tb:Lu2O3 single crystal were studied.Excited at 483 nm,the peak absorption cross-section was calculate...
In the study by Baliarsingh and Dutta [Internat. J.Anal., Vol.2014(2014), Article ID 786437], the authors computed the spectrum and the fine spectrum of the product operator G (u, v; A) over the sequence space e1....
supported by the Natural Science Foundation of China(Nos.11461049,11371185);the Major Program of the National Natural Science Foundation of Inner Mongolia(No.2013ZD01);the National Science Foundation for Fostering Distinguished Young Scholars of Inner Mongolia(No.2013JQ01)
In this paper, the authors investigate the spectral inclusion properties of the quadratic numerical range for unbounded Hamiltonian operators. Moreover, some examples are presented to illustrate the main results.
In this work, we classify and calculate spectra such as point spectrum, continuous spectrum and residual spectrum over sequences spaces?∞, c and c0 according to a new matrix operator W which is obtained by matrix pr...
partially supported by Beijing Natural Science Foundation(No.2122042);the National Natural Science Foundation(Nos.51173017,51373024 and 51103010);the Fundamental Research Funds for the Central Universities(No.FRF-TP-09-010B);the National Natural Science Fund for Distinguished Young Scholar(No.51025313)
A series of pyrene derivatives with different asymmetrical substituents were successfully synthesized and characterized. The geometrical electronic structures of the asymmetrical pyrene derivatives were performed by d...