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相关概念视频

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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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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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Quantum Numbers02:43

Quantum Numbers

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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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Molecular Orbital Theory I02:35

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The Pauli Exclusion Principle03:06

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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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Updated: Jun 10, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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在多体量子系统中的 Eigenstate 定位.

Chao Yin1, Rahul Nandkishore1, Andrew Lucas1

  • 1Department of Physics and Center for Theory of Quantum Matter, <a href="https://ror.org/02ttsq026">University of Colorado</a>, Boulder, Colorado 80309, USA.

Physical review letters
|October 11, 2024
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概括
此摘要是机器生成的。

研究人员证明了量子系统中的多体局部化. 低于一定能量密度的固态仅限于微小的配置子集,可以通过相关函数检测到.

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科学领域:

  • 量子力学就是量子力学.
  • 多体物理学的多体物理学.
  • 凝聚物质理论 凝聚物质理论

背景情况:

  • 了解量子系统的本地化对于量子计算和信息至关重要.
  • 多体局部化 (MBL) 防止了孤立量子系统中的热化,从而保留量子信息.
  • 在多种不同的哈密尔顿式中探索MBL是实现强大的量子设备的关键.

研究的目的:

  • 为了证明存在多体汉密尔顿人的存在,表现出多体移动性的优势.
  • 为了证明低于非零能量密度的固有状态可以局部化.
  • 提出一种实验检测这种局部化的方法.

主要方法:

  • 构建具有少体相互作用的多体哈密尔顿式.
  • 引入量子扰动到一个经典的低密度平价检查代码.
  • 在希尔伯特空间内对自身状态定位的分析.

主要成果:

  • 多体汉密尔顿人的存在,具有多体移动性的优势.
  • 所有自态的定位在非零能量密度以下.
  • 固有状态仅限于能量允许配置的指数小部分.
  • 在希尔伯特空间中展示定位.

结论:

  • 这项研究证明了一种特定类型的多体局部化的存在.
  • 实验检测固态局部化是可行的通过几体相关函数.
  • 这一发现对抗脱凝的量子系统的设计有影响.