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Orlicz空间中一类椭圆型方程解的迭代算子范数估计
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作者 吕月明 李小欢 《哈尔滨理工大学学报》 CAS 北大核心 2023年第6期138-144,共7页
为研究微分形式上迭代算子的相关估计,运用Jensen不等式、Young不等式、结合G(p,q,C)类函数及Whithey覆盖定理的性质,将格林算子与Dirac算子迭代对微分形式A-调和方程解的L p估计推广到Orlicz空间中,得到了相关算子迭代的局部及全局估计。
关键词 ORLICZ空间 迭代算子 格林算子 Hodge-Dirac算子 微分形式
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银的介电函数及其对纳米球附近原子的自发辐射动力学影响
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作者 李芸 单馨雨 +1 位作者 高广波 黄勇刚 《湖南文理学院学报(自然科学版)》 CAS 2024年第1期20-26,50,共8页
金属介电函数对表面等离激元共振特性具有重要的影响。利用数值方法,系统比较了银的Drude模型介电函数、Drude-Lorentz模型介电函数以及实验值,并研究不同介电函数模型下银纳米球对附近原子自发辐射动力学调控特性。首先研究通常采用的D... 金属介电函数对表面等离激元共振特性具有重要的影响。利用数值方法,系统比较了银的Drude模型介电函数、Drude-Lorentz模型介电函数以及实验值,并研究不同介电函数模型下银纳米球对附近原子自发辐射动力学调控特性。首先研究通常采用的Drude和Drude-Lorentz模型,并给出模型介电函数值与实验值的差异,结果表明,Drude模型仅在低频时与实验值符合较好,而含有4个洛伦兹项的Drude-Lorentz模型与实验值符合较好;其次,以银纳米球为例,研究以上介电函数的差异对附近二能级原子自发辐射增强谱及能级移动的影响;再次,研究Drude-Lorentz模型下自发辐射动力学的格林函数预解算子方法和解薛定谔方程方法,结果表明格林函数预解算子方法能快速准确求解自发辐射动力学;最后,基于格林函数预解算子方法,展示了介电函数采用Drude-Lorentz模型和实验值时的自发辐射动力学特性。 展开更多
关键词 Drude-Lorentz模型 表面等离激元 自发辐射动力学 格林函数预解算子方法
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一类非紧Kahler-Einstein流形的复结构
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作者 金路 《数学年刊(A辑)》 CSCD 北大核心 1995年第4期480-487,共8页
本文研究了一类非紧Khler-Einstein流形的复结构的摄动问题.作为推论,给出了Cn中有界强拟凸域与有界齐性域的复结构的摄动的分类性质.
关键词 曲率 H-E流形 复流形 摄动问题 格林算子
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First-principles Study of Electron Transport Through Oligoacenes
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作者 Zhen Pan Qun-xiang Li +1 位作者 Qin-wei Shi Xiao-ping Wang 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2009年第1期7-12,共6页
The electronic transport properties of oligoacenes sandwiched between two Au(111) surfaces with serial and parrallel configurations were investigeted by using a fully self-consistent nonequilibrium Green's function... The electronic transport properties of oligoacenes sandwiched between two Au(111) surfaces with serial and parrallel configurations were investigeted by using a fully self-consistent nonequilibrium Green's function method combined with density functional calculations. This theoretical results show that the conductivity of oligoacenes with both sandwiched configurations at low bias voltage is mainly determined by the tail of the transmission peak from the perturbed highest occupied molecular orbital. When the molecular length increases, the zero-bias voltage conductance G(0) of oligoacenes with serial configuration neither follows Magoga's exponential law nor displays the even-odd oscillation effect, while the G(O) of the oligoacenes sandwiched with parallel configuration monotonically increases. The reduction of energy gaps, the alignment of the Fermi level, and the spatial distribution of the perturbed molecular orbitals are used to self-consistently explore the transport mechanism through oligoacenes. 展开更多
关键词 Transport property Oligoacene Zero-bias voltage conductance First-principles calculation
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Magnetic Properties of Ferromagnetic Double Layers with Ferrimagnetic Interlayer Coupling at Zero Temperature
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作者 JIANG Wei ZHU Cheng-Bo WANG Wei ZHANG Fan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第2期349-352,共4页
Spin-wave theory is used to study magnetic properties of ferromagnetic double layers with a ferrimagnetic interlayer coupling at zero temperature. The spin-wave spectra and four sublattices magnetizations and internal... Spin-wave theory is used to study magnetic properties of ferromagnetic double layers with a ferrimagnetic interlayer coupling at zero temperature. The spin-wave spectra and four sublattices magnetizations and internal energy are calculated by employing retarded Green function technique. The sublattice magnetizations at ground state are smaller than their classical values, owing to the zero-point quantum fluctuations of the spins. 展开更多
关键词 spin-wave theory ferromagnetic double layers zero-point quantum fluctuation ferrimagnetic interlay coupling
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Decay estimates of discretized Green's functions for Schrdinger type operators
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作者 LIN Lin LU Jianfeng 《Science China Mathematics》 SCIE CSCD 2016年第8期1561-1578,共18页
For a sparse non-singular matrix A, generally A- 1 is a dense matrix. However, for a class of matrices, A-1 can be a matrix with off-diagonal decay properties, i.e., |Aij^-1| decays fast to 0 with respect to the inc... For a sparse non-singular matrix A, generally A- 1 is a dense matrix. However, for a class of matrices, A-1 can be a matrix with off-diagonal decay properties, i.e., |Aij^-1| decays fast to 0 with respect to the increase of a properly defined distance between i and j. Here we consider the off-diagonal decay properties of discretized Green's functions for SchrSdinger type operators. We provide decay estimates for discretized Green's functions obtained from the finite difference discretization, and from a variant of the pseudo-spectral discretization. The asymptotic decay rate in our estimate is independent of the domain size and of the discretization parameter. We verify the decay estimate with numerical results for one-dimensional Schr6dinger type operators. 展开更多
关键词 decay estimates Green's function SchrSdinger operator finite difference discretization pseudo-spectral discretization
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Green's function calculations of light nuclei
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作者 ZhongHao Sun Qiang Wu FuRong Xu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2016年第9期64-68,共5页
The influence of short-range correlations in nuclei was investigated with realistic nuclear force. The nucleon-nucleon interaction was renormalized with Vlowk technique and applied to the Green's function calculat... The influence of short-range correlations in nuclei was investigated with realistic nuclear force. The nucleon-nucleon interaction was renormalized with Vlowk technique and applied to the Green's function calculations. The Dyson equation was reformulated with algebraic diagrammatic constructions. We also analyzed the binding energy of 4He, calculated with chiral potential and CD-Bonn potential. The properties of Green's function with realistic nuclear forces are also discussed. 展开更多
关键词 Green's function ab-initio calculations realistic nuclear forces
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