Schrodinger Wave Equation
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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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Schrodinger Wave Equation

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Schrodinger Wave Equation

Davos, Swiss 1925


A total of five papers in 1926


RosettaStone

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





k



cossin

i



a

Im

Re


k

?

Schrodinger Wave Equation




?

Schrodinger Wave Equation


Schrodinger Wave Equation


t xx+dx

ab




E


(x)

(x)




V

+x-x


0.1c



Beat



k

x




k

x


x








Tunneling effect


E < V0




Tunneling Effect


Le Passe-Muraille

Marcel Aym, 1943


Tunneling effect


Scanning Tunneling Microscope STM








P







n


n

n

PrincipalQuantum Number

Orbital Quantum Number

Orbital Magnetic Quantum Number



Ground State


Radial probability density


n=2, l=0

1


s

pz

py

px


z

.


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