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相关概念视频

Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

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Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
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The Pauli Exclusion Principle03:06

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35.4K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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Estimation of the Physical Quantities01:05

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On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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First Law: Particles in One-dimensional Equilibrium01:10

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Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
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相关实验视频

Updated: Jun 10, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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量子多体问题的变量基准

Dian Wu1,2, Riccardo Rossi1,3, Filippo Vicentini2,4,5

  • 1Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.

Science (New York, N.Y.)
|October 17, 2024
PubMed
概括
此摘要是机器生成的。

我们介绍了V-score, 一个用于多体量子系统的变量精度的新指标. 这一分数有助于评估计算物理和化学的进展,指导量子计算算法的发展.

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相关实验视频

Last Updated: Jun 10, 2025

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科学领域:

  • 计算物理
  • 量子化学
  • 量子计算

背景情况:

  • 评估多体基本状态问题的计算方法的进展至关重要.
  • 目前的数值方法有时具有有限的准确性.

研究的目的:

  • 引入一个新的度量,V-score,以量化变化精度.
  • 为基准测试提供精心策划的变量计算数据集.

主要方法:

  • V-分数是从变量能量及其变量中得出的.
  • 一个广泛的多体量子系统计算数据集被策划.

主要成果:

  • 在当前最先进的数值方法的准确性上发现了局限性.
  • 突出了量子计算提供更高准确性的潜力.

结论:

  • V-score是用于跟踪量子变量方法进展的指标.
  • 对于在难以解决的问题上评估量子优势的途径尤其有用.