[問題] Wilson-Sommerfeld Quantization
各位大大好
最近在課堂上學到Wilson-Sommerfeld Quantization
教授是用一個比較粗略的方法跟我們解釋怎麼由一維oscillator弄出量子化條件 但有一
些地方看不太懂
計算如附圖(教授強調這不是推導 只是motivation
http://i.imgur.com/A3foojc.jpg
前半部很多粗略近似都還能理解
先積E那邊我也可以理解
不過他積分的上限=total energy 下限=V(x) 這邊我想不太懂
不懂的點是說為什麼下限要那樣設
我的想法是積分E的話 應該是要積分從potential底 到total energy頂
可是potential底應該要有個明確的值 好比說V(x')
x'是potential底的x座標
還是我的想法有錯QQ
教授有特別強調如果要先積分E的話要小心
因為particle在什麼位置撞到potential彈回去跟與E有關
不過我還是想不通為何那樣設上下限
跪求各位高手幫我解答
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