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相关概念视频

Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

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The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
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Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

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Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
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Mesh Analysis01:20

Mesh Analysis

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Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
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Gauss's Law01:07

Gauss's Law

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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

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James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and...
465
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
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相关实验视频

Updated: Jun 26, 2025

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
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The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

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在拉格朗日网格上的克莱因-戈登方程.

Daniel Baye1

  • 1Nuclear Physics and Quantum Physics, C.P. 229, Université Libre de Bruxelles (ULB), B-1050 Brussels Belgium.

Physical review. E
|May 17, 2024
PubMed
概括

拉格朗日网格方法使用施罗丁格和克莱恩-戈登方程准确地解决了少数体量子问题. 这种高效的方法可以在最小的计算资源下产生精确的能量和波函数.

科学领域:

  • 计算物理 计算物理
  • 量子力学就是量子力学.
  • 理论化学 理论化学

背景情况:

  • 施罗丁格方程对于描述量子系统至关重要.
  • 准确地解决少数物体问题在计算上具有挑战性.
  • 变量方法为复杂的量子方程提供了近似的解决方案.

研究的目的:

  • 介绍拉格朗日网格法用于解决施罗丁格和克莱恩-戈登方程.
  • 为了证明该方法的准确性和效率,为少数人体问题.
  • 为了验证使用库伦电位的方法.

主要方法:

  • 拉格朗日网格法,一个近似的变化技术.
  • 解决静态的克莱恩-戈登方程二次取决于能量.
  • 用拉格朗日-拉格尔格网来进行代解决方案.
  • 测试精确可解决的库伦电位.

主要成果:

  • 高精度通过少量的网格点来实现.
  • 精确的能量和平均值在几次代中得到.
  • 对于各种潜力和能量水平来说,已经证明了效率.
  • 分析波函数是随时可用的.

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Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Last Updated: Jun 26, 2025

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Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
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Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography

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结论:

  • 拉格朗日网格法是少数体量子力学的一个强大而有效的工具.
  • 该方法为边界状态和散射问题提供了准确的解决方案.
  • 它为其他数值技术提供了一个计算上有利的替代方案.