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量子波动
相关语句
  quantum wave
     Analysis and Application of Lagrangian Function and Hamilton′s Principle in the Quantum Wave Field
     拉氏函数和哈密顿原理对量子波动场的分析和应用
短句来源
     By analysing the applied conditions of lagrangian function and Hamilton's principle in the quantum wave field,we have deduced the formality of its field equation. In addition,we have made in detail its calculation of the kinetic energy of the particle with a potential energy V(x) in the wave field.
     利用经典力学的分析方法求解量子场问题 ,分析了经典拉格朗日函数和哈密顿原理在量子波动场中的应用条件 ,导出了场方程的表现形式 ,并就粒子在势能为V(x) 的波动场中的运动能量进行了具体计算 .
短句来源
  相似匹配句对
     WAVE PROPAGATION IN GRQUNDWATER
     地下水的波动
短句来源
     QUANTUM KEY DISTRIBUTION
     量子密码术
短句来源
     Quantum control theory
     量子控制论
短句来源
     The Differentiation and Relation Among Geometrical Optics, Undulatory Optics and Quantum Optics
     几何光学、波动光学和量子光学的区别与联系
短句来源
     Mechanical Wave Theory,New Operators and Nonlinear Equations in Quantum Theory
     力学波动论 ,量子理论中的新算符和非线性方程
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  quantum wave
A graphic method for describing the localization of quantum wave packets in several dimensions is proposed.
      
We consider the matter effects on neutrinos moving in background on the basis of the corresponding quantum wave equations.
      
Bifurcations in the trajectory problem as a cause of internal-time singularities and the onset of quantum (wave)chaos
      
Fundamental calculations of quantum (wave) chaos are presented for the first time for the elementary reaction Li+(FH)→(LiFH)*→LiF+H.
      
A time-dependent quantum wave packet method was used to study the dynamics of dissociative adsorption of H2 and D2 on a flat and static surface.
      
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For the purpose of conquiring a better understanding to the phenomenon of gravitation red shift, the explanation about both the aspects of queantum and wave motion has been given in this paper.Moreover, the wave-particle duality of the light and the"equivalent principle" of the Einstein Gravitation Field Theory were fUrther proved to be correct.

本文对引力场中的引力红移现象从量子、波动两方向进行解释。以加深对引力红移现象的理解,进而验证光的波粒二象性及爱因斯坦引力场论中“等效原理’的正确性。

Stochastic mechanics has gradually drawn much attention in the area of physics and mechanics since it was established by Nelson in 1966. In stochastic mechanics, quantum fluctuational phenomena are described in terms of diffusion processes instead of wave functions. The importance of stochastic mechanics can be shown from the fact that stochastic mechanics and orthodox quantum mechanics make the same predictions for the same position measurements. Since all measurements ultimately consist of position ones,...

Stochastic mechanics has gradually drawn much attention in the area of physics and mechanics since it was established by Nelson in 1966. In stochastic mechanics, quantum fluctuational phenomena are described in terms of diffusion processes instead of wave functions. The importance of stochastic mechanics can be shown from the fact that stochastic mechanics and orthodox quantum mechanics make the same predictions for the same position measurements. Since all measurements ultimately consist of position ones, the two descriptions are experimentally indistinguishable. That is, if the laws of the quantum mechanics apply both to the system being measured and to the measuring apparatus, then the predictions of quantum mechanics will be identical with those of stochastic mechanics, since positions of all constituents of the system plus apparatus are determined by the probability density ρ=|ψ| 2 , where ψ is the wave function of the system plus apparatus.For a given stochastic mechanical system, in addition to its kinematics can be approximated by smooth diffusion processes, the dynamical laws should be obeyed. Therefore, the actual motion of the given system should make stationary a certain action functional which may be described as “the mean stochastic action”. In fact, diffusions have no differentiable sample paths, so that diffusion motions of systems should be estimated by discretization or path wise stochastic calculus. In this paper, the mechanical systems with configurations defined by diffusion processes are considered. By using the path wise calculus of variations, the dynamical equations of the conservative systems and nonconservative systems are derived in terms of generalized coordinates. These equations, together with the continuity equation, describe actually the probability evolution of quantum fluctuations of the given systems. It is shown that there exists a class of n+1 dimensional vector potentials that is invariant under certain gauge transformation. This class of invariant vector potentials can determine a one to one correspondence between solutions (wave functions) of certain Schrdinger equations and diffusion processes satisfying appropriate regularity conditions. As an example, the quantum fluctuations of a particle pair in an one dimensional trap is finally given to illustrate the application of the results of this paper.

研究位形由扩散过程定义的力学系统.利用变分的路径计算给出系统广义坐标表示的动力学方程,该方程连同连续方程描述系统量子波动随时间演化的概率进程.文末的表示定理指出,在满足适当正规条件的扩散过程和Schrdinger方程的解(波函数)之间存在一一对应关系

By analysing the applied conditions of lagrangian function and Hamilton's principle in the quantum wave field,we have deduced the formality of its field equation.In addition,we have made in detail its calculation of the kinetic energy of the particle with a potential energy V(x) in the wave field.

利用经典力学的分析方法求解量子场问题 ,分析了经典拉格朗日函数和哈密顿原理在量子波动场中的应用条件 ,导出了场方程的表现形式 ,并就粒子在势能为V(x) 的波动场中的运动能量进行了具体计算 .

 
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