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Graphing the Wave Function01:13

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Consider the wave equation for a sinusoidal wave moving in the positive x-direction. The wave equation is a function of both position and time. From the wave equation, two different graphs can be plotted.
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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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Anyone who has used a microwave oven knows there is energy in electromagnetic waves. Sometimes, this energy is obvious, such as in the summer sun's warmth. At other times, it is subtle, such as the unfelt energy of gamma rays, which can destroy living cells. Electromagnetic waves bring energy into a system through their electric and magnetic fields. These fields can exert forces and move charges in the system and, thus, do work on them. However, there is energy in an electromagnetic wave,...
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小占用密度的功能相关性 能量校正到波函数的近似值.

José Aarón Rodríguez-Jiménez1,2, Abel Carreras3, David Casanova1,4

  • 1Donostia International Physics Center (DIPC), 20018 Donostia, Euskadi, Spain.

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概括
此摘要是机器生成的。

我们开发了WFT-soDFT,这是一种混合方法,结合了波函数理论 (WFT) 和密度函数理论 (DFT) 的相关性. 这种方法通过准确计算化学系统中的电子相关性来改善电子结构计算.

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科学领域:

  • 量子化学 是一个量子化学.
  • 计算化学的计算化学

背景情况:

  • 波函数理论 (WFT) 方法提供高精度,但在计算上昂贵.
  • 密度函数理论 (DFT) 为相关性能量提供了一个计算上更便宜的替代方案,但可能缺乏准确性.
  • 弥合WFT和DFT之间的差距对于高效准确的电子结构计算至关重要.

研究的目的:

  • 引入一种新的混合方法,WFT-soDFT,将DFT相关性集成到WFT计算中.
  • 以可负担的计算方式提高电子结构计算的准确性.
  • 探索WFT-soDFT在具有挑战性的化学系统中的性能.

主要方法:

  • 通过根据自然占用数划分轨道空间开发了WFT-soDFT.
  • 使用一种新的标准,利用同质电子气体模型将电子密度映射到相关能.
  • 组合限制活性空间配置交互 (RASCI) 波函数与孔和粒子截断.
  • 采用局部密度相关函数来捕获小占用相关能量.

主要成果:

  • 对于小型化学系统,WFT-soDFT与标准WFT计算相比显示出显著的改进.
  • 该方法有效地将DFT相关性能量纳入WFT分析中.
  • 分区方案和相关性功能选择是该方法成功的关键.

结论:

  • WFT-soDFT为提高WFT准确性提供了一个计算效率高的策略.
  • 混合方法为更准确的电子结构预测提供了一个有希望的途径.
  • 这种方法有可能为复杂系统推进计算化学.