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相关概念视频

Quantum Numbers02:43

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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The Quantum-Mechanical Model of an Atom02:45

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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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Maxwell-Boltzmann Distribution: Problem Solving01:20

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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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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.
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The de Broglie Wavelength02:32

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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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sp3d and sp3d 2 Hybridization
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辅助场量子蒙特卡洛方法与高级度零试验波函数

Yuichiro Yoshida1, Luca Erhart1, Takuma Murokoshi1

  • 1Center for Quantum Information and Quantum Biology, The University of Osaka, 1-2 Machikaneyama, Toyonaka, Osaka 560-0043, Japan.

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双占配置交互 (DOCI) 与无相辅助场量子蒙特卡罗 (ph-AFQMC) 结合,为准确的量子化学计算提供了具有成本效益的方法. 这种方法在捕捉静态和动态相关性方面表现出色,尽管它面临着强烈相关系系统的局限性.

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科学领域:

  • 量子化学 是一个量子化学.
  • 计算物理 计算物理
  • 材料科学 材料科学 材料科学

背景情况:

  • 准确的量子化学计算对于理解化学系统至关重要.
  • 像完整主动空间 (CAS) 配置交互 (CI) 这样的传统方法在计算上昂贵.
  • 开发有效的方法来捕捉静态和动态电子相关性是一个关键的挑战.

研究的目的:

  • 引入和评估一种新的方法,将双重占用配置交互 (DOCI) 与无相辅助场量子蒙特卡洛 (ph-AFQMC) 结合起来.
  • 评估这种方法的性能,包括一个轨道优化的变体 (OO-DOCI),用于各种化学系统.
  • 探索基于DOCI的ph-AFQMC的潜力,作为用于多引用计算的CAS方法的计算效率高的替代方案.

主要方法:

  • 在ph-AFQMC框架内使用DOCI波函数作为试验波函数.
  • 采用一个轨道优化的DOCI (OO-DOCI) 来提高准确性.
  • 在水中的OH键破裂,聚合物添加剂,二元碳和系统等系统上测试该方法.

主要成果:

  • OO-DOCI-AFQMC方法实现了高精度,可与基于CAS的ph-AFQMC相提并论,用于中度相关性系统.
  • 在特定情况下,性能与合集群方法密切匹配或超越.
  • 对于强烈相关的系统,准确性下降,这表明这些场景的资历为零空间的局限性.

结论:

  • 基于DOCI和OO-DOCI的ph-AFQMC为准确的多引用计算提供了一种计算可处理的方法.
  • 该方法有效地捕捉了许多系统的静态和动态相关性,降低了与CAS方法相关的成本.
  • 对于强烈相关的系统,需要进一步开发,可能涉及在扩展空间中的试验波函数.