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# Schrodinger Wave Equation - PowerPoint PPT Presentation

Schrodinger Wave Equation. Davos, Swiss 1925. A total of five papers in 1926. 薛丁格證明了波動力學與矩陣力學 數學上 是等價的！. 因此以波來描述電子成為最簡單方便的辦法。. 第一步就是要猜出波動方程式。. 找物質波的波方程式如同解讀一個古老的失傳的語言. Rosetta Stone It was created in 196 BC, discovered by the French in 1799 at Rosetta. 找尋波方程式的線索. 正弦波對應於一個不受力的自由粒子.

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## PowerPoint Slideshow about 'Schrodinger Wave Equation' - gamma

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Davos, Swiss 1925

RosettaStone

It was created in 196 BC, discovered by the French in 1799 at Rosetta

k的二次方，翻譯為位置的二次微分

ω的二次方，翻譯為時間的二次微分

Im

θ

Re

?

Schrodinger Wave Equation

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Schrodinger Wave Equation

Schrodinger Wave Equation如果電子不是自由粒子，而是受到一個位能的影響呢？

Beat

Δk

Δx

Δ如果動量（波長）的分布是高斯分布，平均值即是粒子的動量，寬度即是動量不準度。k

Δx

x

Tunneling effect這就是一維的散射，所以散射後測量該電子，有可能發現它往右運動，也有小部分機率會發現它往左，但發現是永遠是一顆電子。

Marcel Aymé, 1943

Tunneling effect但如果這位能只持續很小一個範圍，位能很薄，粒子便能滲透過去：

Scanning Tunneling Microscope 但如果這位能只持續很小一個範圍，位能很薄，粒子便能滲透過去：穿隧顯微鏡 STM

PrincipalQuantum Number

Orbital Quantum Number

Orbital Magnetic Quantum Number

n=2, l=0以極座標表示，波函數可分解為三個部分的乘積。

s以極座標表示，波函數可分解為三個部分的乘積。

pz

py

px