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相关概念视频

Velocity and Acceleration of a Wave00:51

Velocity and Acceleration of a Wave

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A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which is not constant. In addition, the velocity of the medium is perpendicular to the velocity of the wave. The variable speed of the particles of the medium implies that there must be acceleration associated with it. 
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time....
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Wave Parameters01:10

Wave Parameters

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The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
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Propagation of Waves01:07

Propagation of Waves

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When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
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Equations of Wave Motion01:02

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Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
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Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

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Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
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Kinetic and Potential Energy of a Wave01:10

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All forms of waves carry energy; this is directly visualized in nature. For instance, the waves of earthquakes are so intense that they can shake huge concrete buildings, causing them to fall. Loud sounds can damage nerve cells in the inner ear, causing permanent hearing loss. The waves of the oceans can erode beaches. 
In mechanical waves, the amount of energy is related to their amplitude and frequency. In the context of the above examples, large-amplitude earthquakes produce large...
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Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
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机器学习对集体平均波束动态的校正.

Yannick Holtkamp1, Markus Kowalewski2, Jens Jasche3,4

  • 1School of Science, Constructor University, Campus Ring 1, 28759 Bremen, Germany.

The Journal of chemical physics
|September 6, 2023
PubMed
概括
此摘要是机器生成的。

这项研究引入了一种机器学习的校正,以改进量子动力学模拟. 新方法通过对较小的系统进行培训,有效地模拟较大的系统,优于以前的方法.

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科学领域:

  • 量子力学就是量子力学.
  • 计算化学是一种计算化学.
  • 理论物理学的理论物理.

背景情况:

  • 开放量子系统理论对于理解能量和电子转移等自然过程至关重要.
  • 准确模拟大型系统的量子动力学是计算上具有挑战性的.
  • 现有的机器学习方法通常需要从类似的大型系统获得广泛的训练数据,从而限制了它们的可扩展性.

研究的目的:

  • 开发一种新的机器学习方法,以降低模拟消散量子动态的计算成本.
  • 为目前难以处理的大型系统提供准确的量子动力学计算.
  • 为研究复杂量子系统引入一种可扩展和高效的方法.

主要方法:

  • 开发了一种机器学习的校正术语,并集成到施罗丁格方程 (NISE) 数值集成方法中.
  • 校正术语是从更小的量子系统的数据中训练出来的,在这些系统中,准确的计算是可行的.
  • 然后应用了增强的NISE方案来模拟更大的系统的消散量子动力学.

主要成果:

  • 拟议的机器学习校正显著提高了消散量子动力学模拟的准确性.
  • 该方法通过对来自较小,可计算管理的系统的数据进行培训,证明了对较大的系统的可行性.
  • 新的机器学习校正优于先前开发的手工校正术语.

结论:

  • 这种新型的机器学习校正提供了一种计算效率高,准确的方法,用于研究大型系统中的散射量子动力学.
  • 这种方法克服了以前的机器学习技术的局限性,允许在较小的系统上进行训练.
  • 这些发现为量子化学和物理中的更容易访问和可扩展的模拟铺平了道路.