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_posts/de/2024-10-08-schrodinger-equation-and-the-wave-function.md

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Wir betrachten die grundlegende Form der Schrödinger-Gleichung, die in der Quantenmechanik eine ähnliche Stellung einnimmt wie die Newtonschen Bewegungsgesetze in der klassischen Mechanik.
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Außerdem untersuchen wir die statistische Interpretation der physikalischen Bedeutung der Wellenfunktion, die als Lösung der Schrödinger-Gleichung erhalten wird, verschiedene Perspektiven auf die quantenmechanische Unbestimmtheit und die physikalische Bedeutung des Messvorgangs (Kollaps der Wellenfunktion) in der Kopenhagener Deutung.
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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_posts/de/2024-10-12-ehrenfest-theorem.md

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und erweitern dies auf eine Formel für den Erwartungswert einer beliebigen mechanischen Variable Q(x,p).
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Daraus leiten wir dann das Ehrenfest-Theorem ab.
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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_posts/en/2024-10-08-schrodinger-equation-and-the-wave-function.md

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We examine the basic form of the Schrödinger equation, which holds a similar status in quantum mechanics as Newton's laws of motion in classical mechanics.
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We also explore the statistical interpretation of the physical meaning of the wave function obtained as a solution to the Schrödinger equation, perspectives on quantum indeterminacy, and the physical significance of measurement in the Copenhagen interpretation (collapse of the wave function).
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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math: true
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mermaid: true
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_posts/en/2024-10-12-ehrenfest-theorem.md

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and extend this to the calculation formula for the expectation value of any mechanical variable Q(x,p).
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Then, derive the Ehrenfest theorem from this.
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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math: true
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_posts/es/2024-10-08-schrodinger-equation-and-the-wave-function.md

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Examinamos la forma básica de la ecuación de Schrödinger, que tiene una posición similar a las leyes del movimiento de Newton en la mecánica clásica, pero en la mecánica cuántica.
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También exploramos la interpretación estadística del significado físico de la función de onda obtenida como solución de la ecuación de Schrödinger, las perspectivas sobre la indeterminación cuántica y el significado físico del acto de medición (colapso de la función de onda) en la interpretación de Copenhague.
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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math: true
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mermaid: true
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_posts/es/2024-10-12-ehrenfest-theorem.md

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extendiendo esto a una fórmula para el valor esperado de cualquier variable mecánica Q(x,p).
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Luego derivamos el teorema de Ehrenfest a partir de estos resultados.
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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_posts/fr/2024-10-08-schrodinger-equation-and-the-wave-function.md

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Nous examinons la forme fondamentale de l'équation de Schrödinger, qui a un statut similaire aux lois du mouvement de Newton en mécanique classique dans la mécanique quantique.
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Nous explorons également l'interprétation statistique de la signification physique de la fonction d'onde obtenue comme solution de l'équation de Schrödinger, les perspectives sur l'indétermination quantique, et la signification physique de l'acte de mesure dans l'interprétation de Copenhague (l'effondrement de la fonction d'onde).
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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math: true
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_posts/fr/2024-10-12-ehrenfest-theorem.md

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puis nous étendons cela à une formule de calcul de la valeur attendue pour toute variable mécanique Q(x,p).
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Enfin, nous dérivons le théorème d'Ehrenfest à partir de ces résultats.
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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math: true
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_posts/ja/2024-10-08-schrodinger-equation-and-the-wave-function.md

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量子力学において古典力学のニュートンの運動法則に相当するシュレーディンガー方程式の基本形を見ていきます。
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また、シュレーディンガー方程式の解として得られる波動関数の物理的意味に関する統計的解釈と量子力学的不確定性に関する視点、そしてコペンハーゲン解釈における測定行為の物理的意味(波動関数の崩壊)について学びます。
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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math: true
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_posts/ja/2024-10-12-ehrenfest-theorem.md

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これを任意の力学的変数Q(x,p)に対する期待値の計算式に拡張する。
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そしてこれからエーレンフェストの定理(Ehrenfest theorem)を導出する。
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categories: [Engineering Physics, Modern Physics]
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tags: [Quantum Mechanics, Schrödinger's Equation, Wave Function]
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tags: [Quantum Mechanics, Schrödinger Equation, Wave Function]
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math: true
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