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相关概念视频

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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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 de Broglie Wavelength02:32

The de Broglie Wavelength

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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The Bohr Model02:18

The Bohr Model

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Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...
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Thermodynamics: Activity Coefficient01:24

Thermodynamics: Activity Coefficient

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Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
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Thermodynamics: Chemical Potential and Activity01:10

Thermodynamics: Chemical Potential and Activity

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The effective concentration of a species in a solution can be expressed precisely in terms of its activity. Activity considers the effect of electrolytes present in the vicinity of the species of interest and depends on the ionic strength of the solution. The activity of a species is expressed as the product of molar concentration and the activity coefficient of the species.
The thermodynamic equilibrium constant is more accurately defined in terms of activity rather than concentration.
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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量子动态活动的精确解决方案.

Tomohiro Nishiyama1, Yoshihiko Hasegawa2

  • 1Independent Researcher, Tokyo 206-0003, Japan.

Physical review. E
|May 17, 2024
PubMed
概括
此摘要是机器生成的。

计算量子动态活动,一个关键的热力学成本,现在是可行的. 我们使用连续矩阵乘积态方法提供了准确的解决方案,使我们能够对量子速度限制有新的见解.

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相关实验视频

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科学领域:

  • 量子热力学就是量子热力学.
  • 量子信息理论 量子信息理论
  • 统计力学 统计力学

背景情况:

  • 量子动态活动是量子热力学中的一个关键指标,它出现在量子速度限制和量子热力学不确定性关系等基本的权衡关系中.
  • 计算量子动态活动在计算上具有挑战性,限制了其实际应用和理论探索.
  • 了解这些热力学成本对于推进量子技术和理解量子系统的动态至关重要.

研究的目的:

  • 为计算量子动态活动提供一个精确的分析解决方案.
  • 建立基于系统属性的量子动态活动的上限.
  • 通过数值模拟来验证理论发现.

主要方法:

  • 该研究采用连续矩阵产物状态 (MPS) 方法,这是一种强大的数值技术,用于模拟量子多体系统.
  • 量子动态活动的确切解决方案是使用开发的连续MPS框架来得出的.
  • 通过分析系统哈密尔顿式和跳跃运算符的标准偏差来确定动态活动的上限.

主要成果:

  • 使用连续矩阵产物状态方法,成功地获得了量子动态活动的精确解决方案.
  • 导出的解决方案允许确定动态活动的上限,与系统哈密尔顿式和跳跃运算符的标准偏差相关.
  • 数字模拟证实了精确的解决方案和导出的上限的准确性.

结论:

  • 开发量子动态活动的精确解决方案克服了以前的计算障碍.
  • 建立的上限为估计和限制量子系统中的动态活动提供了一个实用的工具.
  • 这项工作有助于更深入地了解量子力学中的热力学成本及其对量子信息处理的影响.