查询词典 Hamiltonian operator

By using this newly developed index theory,we investigate the multiplicity of subharmonic solutions for nonlinear Hamiltonian systems and second order Hamiltonian systems.

应用这一指标理论，讨论Hamilton系统与二阶Hamilton系统次调和解的存在性。

It is also pointed out that an n-mode boson coupled quadratic Hamiltonian can be diagonalized by a "negative unitary" matrix which is an element of complex symplectic group SP(2n,c),and an n-mode fermion coupled quadratic Hamiltonian can be diagonalized by a unitary matrix which is an element of complex fermion group F(2n,c).

并且指出，对于n模玻色子耦合二次型哈密顿量，通过一个负幺正矩阵它是复辛群SP(2n，c的元素可以把它对角化；对n模费米子耦合二次型哈密顿量，通过一个幺正矩阵它是复费米群F(2n，c的元素可以把它对角化。

The symplectic schemes have the ability to preserve the global symplectic structure of the phase space for a Hamiltonian system. They have substantial benefits in numerical computation for Hamiltonian system, especially in long-term simulations.

辛算法正是保持Hamilton系统内在性质的一种新型数值方法，该算法在长时间的数值计算中，具有常见数值方法无可比拟的计算优势。

In section 2 of Appendix, we give the Hamiltonian theory of generic noncommutative case, it shows that in this case, Hamiltonian theory of generic noncommutative case is corresponding to the commutative case under a new operation rule.

在附录二中本文给出了非交换情形下一般的Hamiltonian理论，它说明非交换的Hamiltonian理论与交换的Hamiltonian理论在一种新的运算规则下形式上保持一致。

In a word, a new method that theoretically calculates the relativistic corrections and the fine structure of the energy levels in two-electron atom, including the atomic Hamiltonian expressed by spherical tensors, the calculation of the angular matrix elements and the summations over spin of the various interactions in the atomic Hamiltonian, and the approximate calculation of the radial matrix elements, has been provided in this thesis.

总之，本文为双电子原子能级的相对论修正和精细结构的理论计算提供了一种新的方法，包括原子哈密顿算符的球张量表示方法、原子哈密顿中各种相互作用项的角向矩阵元和自旋求和的计算方法，以及径向矩阵元的近似计算方法。

Strategy for designing optimal bounded control to minimize the response of quasi partially-integrable Hamiltonian systems with stochastic excitations is proposed based on the stochastic averaging method for quasi partially-integrable Hamiltonian systems and the stochastic dynamical programming principle.

本文提出了一种基于拟部分可积Hamilton系统随机平均法和随机动态规划原理的最优有界控制策略。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Firstly, a new two-tuples hybrid weighted averaging operator based on uncertain information processing is proposed. Properties of the operator are also analyzed. A method for group decision making with linguistic information based on T-HWA operator is presented.

首先提出了一种基于不确定信息处理的二元语义混合加权平均算子，并对该算子的性质进行了分析，然后给出了一种基于T-HWA算子的语言群决策方法。

Chapter 4, the author first presents an ordered weighted Euclid averaging operator, and then studies the relationship between the OWEA operator and the OWA operator in detail.

第五章首先介绍了BP神经网络基本原理及其算法，然后在此基础上给出了基于BP神经网络的交互式赋权法。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！