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相关概念视频

Spin–Spin Coupling Constant: Overview01:08

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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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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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In an ideal transformer, it is assumed that there are no energy losses, and, hence, all the power at the primary winding is transferred to the secondary winding. However, in reality,  the transformers always have some energy losses, and, hence, the output power obtained at the secondary winding is less than the input power at the primary winding due to energy losses.
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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变压器变化波函数用于丧的量子自旋系统.

Luciano Loris Viteritti1, Riccardo Rende2, Federico Becca1

  • 1Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, I-34151 Trieste, Italy.

Physical review letters
|June 24, 2023
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概括
此摘要是机器生成的。

我们介绍了视觉变压器 (ViT) 波函数,这是一种用于量子系统的新型神经网络. 这种方法使用自我注意力准确地模拟复杂的量子状态,简化了对多体系统的分析.

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科学领域:

  • 量子多体物理学 量子多体物理学
  • 机器学习在物理学中的应用
  • 计算量子科学 计算量子科学

背景情况:

  • 视觉转换器 (ViT) 架构在自然语言处理和计算机视觉方面表现出色,利用自我注意力来实现远程相关性.
  • 量子多体系统由于其复杂性和捕捉复杂相关性的需要,引发了重大的计算挑战.
  • 变量神经网络状态为近似复杂量子波函数提供了一个有希望的途径.

研究的目的:

  • 适应视觉变压器 (ViT) 架构用于模拟量子多体系统.
  • 引入一个新的类型的变化神经网络状态,称为ViT波函数.
  • 在基准量子模型上评估ViT波函数的有效性.

主要方法:

  • 开发了ViT架构的新改编,使用量子波函数的复杂参数.
  • 将拟议的ViT波函数应用于一维的J1-J2海森堡模型.
  • 研究了浅层和深层建筑配置,专注于自我注意力机制.

主要成果:

  • 维特波函数在海森伯格模型的间隙和无间隙阶段实现了极好的准确性.
  • 一个简化,浅薄的ViT架构,单一的自我注意层被证明是非常有效的.
  • 该方法展示了通过结合本地和全球操作来准确建模大型量子系统的能力.

结论:

  • ViT波函数代表了一种强大的新工具,用于研究量子多体系统.
  • 它的成功凸显了基于变压器的架构在量子物理学中的潜力.
  • 该方法提供了一个可扩展和准确的方法来解决复杂的量子模型,包括丧的系统.