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相关概念视频

Phasor Arithmetics01:13

Phasor Arithmetics

392
Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
392
Ladder Diagrams: Complexation Equilibria01:07

Ladder Diagrams: Complexation Equilibria

425
Ladder diagrams are useful for evaluating equilibria involving metal-ligand complexes. The vertical scale of the ladder diagram represents the concentration of unreacted or free ligand, pL. The horizontal lines on the scale depict the log of stepwise formation constants for metal-ligand complexes and indicate the dominant species in all the regions.
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
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The Swing Equation01:21

The Swing Equation

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The Swing Equation is a fundamental tool in power system dynamics, especially for analyzing the behavior of generating units like three-phase synchronous generators. This equation emerges from applying Newton's second law to the rotor of a generator, encompassing factors such as inertia, angular acceleration, and the interplay between mechanical and electrical torques.
In a steady-state operation, the mechanical torque (Τm) supplied to the generator is balanced by the electrical torque...
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Henderson-Hasselbalch Equation02:48

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The ionization-constant expression for a solution of a weak acid can be written as:
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Euler Equations of Motion01:19

Euler Equations of Motion

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Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
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Euler's Equations of Motion01:28

Euler's Equations of Motion

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In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains...
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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萨尔佩特方程与复杂的哈密尔顿式

Fernando Alonso-Marroquin1, Yaoyue Tang2, Fatemeh Gharari3

  • 1King Fahd University of Petroleum and Minerals, CIPR, Dhahran, 31261, Kingdom of Saudi Arabia.

Physical review. E
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PubMed
概括
此摘要是机器生成的。

这项研究引入了非自旋相对论量子粒子的新传播器,使波传播分析成为可能. 巴默传播器描述了相对论扩散,在考契和高斯过程之间插曲,以获得时间依赖的异常扩散.

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科学领域:

  • 量子力学就是量子力学.
  • 相对论量子力学的量子力学.
  • 随机过程是指随机的过程.

背景情况:

  • 萨尔佩特哈密尔顿式描述了相对论量子粒子.
  • 了解波的传播和扩散在量子力学中至关重要.
  • 异常扩散在建模随机过程中提出了挑战.

研究的目的:

  • 为了获得一个 (1+1) 维的Salpeter Hamiltonian的传播者的分析表达式.
  • 描述非自旋相对论量子粒子的波传播.
  • 为了制定和分析一个相对论的随机过程与时间依赖的异常扩散.

主要方法:

  • 使用 Salpeter 汉密尔顿推广器的积分表示和分析解决方案.
  • 在特殊函数方面导出格林函数.
  • 在复杂平面中使用哈密尔顿式的分析延伸来制定Bäumer方程.
  • 计算传播器,以便在考西和高斯扩散模式之间进行插值.

主要成果:

  • 为传播器 (绿色函数) 导出了一个明确的表达式.
  • 大质量和无质量粒子的波传播是通过将格林函数与初始波函数卷曲来确定的.
  • 制订了Bäumer方程,描述了具有时间变化的异常扩散的相对论随机过程.
  • 一个Bäumer传播器被分析计算,在Cauchy和高斯扩散之间进行插曲.

结论:

  • 导出的绿色函数为分析量子粒子波传播提供了一个框架.
  • 巴默传播器提供了一种新的方法来建模与时间依赖的异常扩散的相对论扩散.
  • 这项工作建立了量子力学和随机过程与时间依赖的异常扩散之间的联系.