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相关概念视频

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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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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The Uncertainty Principle04:08

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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First Law: Particles in One-dimensional Equilibrium01:10

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Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
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Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
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The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
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相关实验视频

Updated: Jul 1, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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在开放量子系统中的利布-舒尔茨-马蒂斯定理.

Kohei Kawabata1,2, Ramanjit Sohal1, Shinsei Ryu1

  • 1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.

Physical review letters
|March 1, 2024
PubMed
概括

利布-舒尔茨-马蒂斯定理现在适用于开放的量子系统,揭示了稳定状态和光谱间隙的对称性限制. 这扩大了对拓相和散热系统中的哈尔丹间隙现象的理解.

科学领域:

  • 量子多体物理学 量子多体物理学
  • 开放的量子系统 开放的量子系统
  • 凝聚物质理论 凝聚物质理论

背景情况:

  • 利布-舒尔茨-马蒂斯 (LSM) 定理限制了量子多体系统,对于理解拓相和哈尔丹差距至关重要.
  • 将这些约束扩展到开放的量子系统对于描述现实的,相互作用的量子物质在散射下至关重要.

研究的目的:

  • 为了将利布-舒尔茨-马蒂斯定理推广到开放的量子系统.
  • 建立基于对称的限制在稳定状态和Liouvillians的光谱差距.
  • 探索对拓相和散射系统中的哈尔丹间隙类型的含义.

主要方法:

  • 为开放量子系统制定一个概括的LSM定理.
  • 基于对称的Liouvillian属性的分析,如转换不变性和U(1) 对称.
  • 对特定模型的研究,包括具有不同旋转值的散散海森伯格模型.

主要成果:

  • 在非整数填充数的转换不变性和U(1) 对称性下,禁止使用独特的间隙稳定状态.
  • 散散差在旋转-1/2散散的海森伯格模型中不存在,但可以存在于旋转-1对应模型中.
  • 这种LSM约束与卢维尔人的散射形状因子和内在开放系统对称性的量子异常有关.

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结论:

  • 一般化的LSM定理为开放量子系统提供了基本约束,类似于封闭系统.
  • 这项工作统一了对封闭和开放量子系统中的拓相和现象的理解.
  • 这些发现为工程设计和特征化消散量子设备的拓状态提供了新的途径.