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The de Broglie Wavelength02:32

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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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In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
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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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2つの長さスケールの量子批判性

Hui Shao1, Wenan Guo2, Anders W Sandvik3

  • 1Department of Physics, Beijing Normal University, Beijing 100875, China. Beijing Computational Science Research Center, Beijing 100084, China. Department of Physics, Boston University, Boston, MA 02215, USA.

Science (New York, N.Y.)
|March 19, 2016
PubMed
まとめ
この要約は機械生成です。

デコンフィネッド量子クリティカルポイント (DQC) 理論は,シミュレーションのエニグマを解決する新しいスケーリング形式で修正されています. これは量子磁石の 連続した相変遷を証明しています

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科学分野:

  • 凝縮物質物理学
  • 量子批判性について
  • 段階移行

背景:

  • 解き放たれた量子臨界点 (DQC) 理論は,絶対零度温度での異常な相変遷を記述する.
  • 従来の理論は不連続性を予測しますが,DQCポイントは継続的な変換を示唆しています.
  • コンピューターシミュレーションでは DQC 理論が確認できず 予期せぬスケール偏差が示されました

研究 の 目的:

  • DQC理論からのシミュレーション偏差の謎を解くために
  • 観測された現象を説明する新しい批判的スケーリング形式を提案し検証する.
  • 連続したトランジションを 解き放たれた刺激で示す

主な方法:

  • 2つの異なる長さのスケールを組み込む重要なスケーリング形式を開発しました.
  • 量子磁石モデルで コンピューターシミュレーションを行いました
  • アンチ・フェロマグネティックとジメリ化基底状態のシミュレーションを分析した.

主要な成果:

  • 提案されたスケーリング形式は,シミュレーションデータをうまく説明します.
  • 絶え間ない相変化が確認されました
  • T=0とT>0の両方で観測された異常なスケーリング行動が解消されました.

結論:

  • 新しいスケーリング形式は,DQC点シミュレーションの不一致を解決します.
  • 発見は,無制限の興奮による連続的な移行を支持する.
  • 量子批判性のパラダイムを修正し,強く相関する材料の研究に影響を与えます.