查询词典 Hamiltonian

For the more complicated case of orbital degenerate ground states, however, the theoretical studies on the spin Hamiltonian parameters are quite few.

同时由于该问题的复杂性，前人工作常常忽略一些因素的贡献，故难以对基态为轨道简并态时的自旋哈密顿参量作出合理的定量的解释。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

Therefore, the existence of periodic solutions for the Hamiltonian system and its equivalent differential delay equation is established.

从而建立哈密顿系统以及与之等价的时滞微分方程的周期解的存在性定理。

Successive diagonalization and truncation technique was used to reduce the size of the final Hamiltonian matrix to be diagonalized.

为了降低需要对角化的最终哈密顿矩阵的维数，采用连续对角化截断方法。

Regarded as the foundation of studying mesoscopic circuit, we discussed the Hamiltonian diagonalization.

作为研究介观电路的基础，对哈密顿量的对角化进行讨论。

By comparison, two different generators can diagonalize the Hamiltonian and eigenvalue of systems are nearly equal.

比较发现，两种情况都可以对角化系统，计算出的系统本征值略微不同。

For nonlinear harmonic oscillators, we close the flow equations and acquired an explicit expression of energy-level. For nonlinear-coupled harmonic oscillators, we close the flow equations and diagonalize the Hamiltonian by numerical analysis methods.

对非线性谐振子系统，计算出系统参数随流参数变化的一组方程及系统的能级；对耦合的非线性谐振子系统，得出系统参数随流参数变化的一组非线性方程，数值分析对角化了系统。

For nonlinear harmonic oscillators systems of coordinate coupling and momentum-coupling, one obtains a group differential equations for physical parameters about flow parameter by the numerical analysis method, one finds this method can diagonalize the Hamiltonian.

通过数值分析物理参数随流参数变化规律，给出了对角化的哈密顿量。

The fine structure Hamiltonian for Hydrogen-like atoms is derived using the nonrelativistic approximation of the Dirac equation for one electron moving in the Coulomb field.

从Coulomb场中运动的电子的Dirac方程出发，取其非相对论极限导出了类氢离子的精细结构哈密顿的表达式。

If d +d ≥n for every two strongly disjoint independent sets S and T with|S|=s and|T|=1, respectively, then G is hamiltonian.

设s，t是两个正整数，G是一个2-连通n阶图，若对任意两个强不交独立集S和T，其中|S|=s，|T|=t，有d+d≥n，则G是哈密尔顿图。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了