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相关概念视频

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

45.6K
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.
45.6K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

50.2K
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:
50.2K
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

32.9K
Overview of Molecular Orbital Theory
32.9K
Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
49.0K
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

1.4K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.4K
Electron Orbital Model01:18

Electron Orbital Model

69.1K
Orbitals are the areas outside of the atomic nucleus where electrons are most likely to reside. They are characterized by different energy levels, shapes, and three-dimensional orientations. The location of electrons is described most generally by a shell or principal energy level, then by a subshell within each shell, and finally, by individual orbitals found within the subshells.
The first shell is closest to the nucleus, and it has only one subshell with a single spherical orbital called the...
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相关实验视频

Updated: Sep 13, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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周期量子系统的高效预测纠对态方法

Shaojun Dong1, Chao Wang1, Hao Zhang2,3

  • 1Institute of Artificial Intelligence, Hefei Comprehensive National Science Center, Hefei 230088, People's Republic of China.

Physical review letters
|July 31, 2025
PubMed
概括
此摘要是机器生成的。

一种使用预测纠对状态 (PEPS) 与开放边界条件 (OBC) 叠加的新方法有效地模拟了具有周期边界条件 (PBC) 的量子多体系统. 这种方法可以降低计算成本,同时保持复杂系统的准确性.

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相关实验视频

Last Updated: Sep 13, 2025

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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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科学领域:

  • 量子物理学的量子物理学
  • 凝聚物质理论 凝聚物质理论
  • 计算物理学的计算物理.

背景情况:

  • 预测纠对状态 (PEPS) 对于研究二维量子多体系统至关重要.
  • 由于缩放问题,传统的PEPS方法面临周期边界条件 (PBC) 的计算挑战.
  • 这限制了对具有复杂边界条件的系统的研究.

研究的目的:

  • 为带有PBC的系统开发一个计算效率高的PEPS方法.
  • 为了克服周期系统的传统PEPS方法的局限性.
  • 为了能够准确地模拟具有复杂边界条件的量子多体系统.

主要方法:

  • 通过叠加PEPS与开放边界条件 (OBC) 来处理PBC,开发了一种新的策略.
  • 该方法保留了转化不变率和PBCs.
  • 与海森伯格和J1-J2模型进行基准测试,并应用于哈珀-霍夫斯塔特模型.

主要成果:

  • 新方法显著降低了PBC系统的计算复杂性.
  • 在大型系统大小的低计算成本下获得了准确的结果.
  • 在哈珀-霍夫斯塔特模型中使用扭曲边界条件成功研究了切尔恩数.

结论:

  • 开发的PEPS方法提供了一个强大而有效的工具,用于模拟量子多体系统与PBCs.
  • 这一进步扩大了PEPS的适用性,使量子现象的新研究成为可能.
  • 该方法为有效研究具有复杂边界条件的多种量子系统提供了一条途径.