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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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Fermi Level Dynamics01:12

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
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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.
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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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First Law: Particles in Two-dimensional Equilibrium01:18

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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.
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Angular momentum is directed perpendicular to the plane of the rotation, and its magnitude depends on the choice of the origin. The perpendicular vector joining the linear momentum vector of an object to the origin is called the “lever arm.” If the lever arm and linear momentum are collinear, then the magnitude of the angular momentum is zero. Therefore, in this case, the object rotates about the origin such that it lies on the rim of the circumference defined by the lever arm...
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相关实验视频

Updated: Feb 17, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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在51原子量子模拟器上探测多体动力学

Hannes Bernien1, Sylvain Schwartz1,2, Alexander Keesling1

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

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|December 1, 2017
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概括

研究人员使用冷原子和赖德伯格相互作用创造了可控制的量子物质,实现了可编程的量子自旋模型. 这种系统表现出相位转换和强大的动力学,为量子模拟和算法铺平了道路.

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科学领域:

  • 量子物理学
  • 量子模拟
  • 凝聚物质物理

背景情况:

  • 控制的量子系统对于理解量子物质至关重要.
  • 量子模拟器提供了一条通往新的量子阶段和计算优势的道路.

研究的目的:

  • 展示一种制造受控多体量子物质的方法.
  • 实现和研究可编程的量子自旋模型.

主要方法:

  • 使用确定性准备的可重新配置的单独捕获的冷原子阵列.
  • 通过激发Rydberg状态来产生强烈,连贯的相互作用.
  • 实现一个可编程的Ising类型量子自旋模型,

主要成果:

  • 观察阶段过渡进入空间有序状态,打破离散对称性.
  • 检查这些有序状态的高保真准备.
  • 研究强大的多体动力学,包括量子灭后的持续振荡.

结论:

  • 开发的方法可以在可编程量子模拟器上探索多体现象.
  • 这种方法可以促进新型量子算法的实现.
  • 该系统提供了对量子物质基本特性的洞察.