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関連する概念動画

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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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 de Broglie Wavelength02:32

The de Broglie Wavelength

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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The Bohr Model02:18

The Bohr Model

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Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as the...
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The Uncertainty Principle04:08

The Uncertainty Principle

29.6K
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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Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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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...
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Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

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The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
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関連する実験動画

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High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water
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High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water

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ディラック方程式の量子シミュレーション

R Gerritsma1, G Kirchmair, F Zähringer

  • 1Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, A-6020 Innsbruck, Austria.

Nature
|January 8, 2010
PubMed
まとめ

研究者は,閉じ込められたイオンを使用してディラク方程式をシミュレートし,奇妙な量子運動であるZitterbewegungを観察しました. この実験は,相対論的量子効果と量子場理論の原理を研究するための新しい方法を提供します.

科学分野:

  • 量子物理学とは,量子物理学のことです.
  • 相対論的量子力学 相対論的量子力学
  • 量子シミュレーションによる量子シミュレーション

背景:

  • ディラック方程式は量子力学と特殊相対性理論を統合し,電子のスピンを記述し,反物質を予測します.
  • 量子場論の基本概念ですが,クラインのパラドックスやジッターベーブーゲングのような挑戦的な現象を示しています.
  • これらの相対論的量子効果を実際の粒子で観測することは,実験的に難しい.

研究 の 目的:

  • 一次元のダイラック方程式の原理証明量子シミュレーションを実行する.
  • 制御可能なシステムを用いて,ジッターベーブイングと相対論的量子現象を実験的に調査する.
  • 相対論的量子力学と非相対論的量子力学の間の移行を調査する.

主な方法:

  • 自由相対論量子粒子のための量子シミュレータとして単一の閉じ込められたイオンを使用した.
  • 実験パラメータに対する正確な制御を実装し,ディラク方程式のダイナミクスを模倣します.
  • 様々な初期量子状態に対する粒子位置の時間進化を測定した.

主要な成果:

  • 閉じ込められたイオン系で1次元のダイラック方程式をシミュレートしました.
  • ダイラック方程式によって予測される特徴的な振動運動であるZitterbewegungを観測した.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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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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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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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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  • 相対論的から非相対論的体制へのクロスオーバーを研究するためにパラメータを調整する能力を実証した.
  • 結論:

    • 閉じ込められたイオン量子シミュレーションは,基本的な相対論的量子力学を研究するための実行可能なプラットフォームを提供します.
    • このアプローチにより,以前はアクセスが困難だったジッタービーウェッグのような現象の観測と分析が可能になる.
    • 実験制御は,複雑な量子システムのシミュレーションと,ダイナミックレジムの間の移行を可能にします.