Re: [題目] a half infinite well
我也想問E的求解耶 老師要我們求E1 E2 ?
當然要先求出k=(2mE)^(1/2) / hbar
但是我把邊界條件
1. x=L 一微連續
2. x=L 函數連續
3. x=0 函數連續
三個邊界條件列出來 還是解不出E >"<
有人可以指點一下KEY POINT嗎? 謝謝
對不起數學不好>"<
※ 引述《jsschen (jsschen)》之銘言：
: 這是近物的一題:
: A half-infinite well has an infinitely high wall at the origin and
: one of finite height U0 at x=L. Like the finite well, the number
: of allowed states is limited.
: (a) Assume that it has two states, of energy E1 and E2, where
: E2 is not much below U0. Make a sketch of the potential
: energy, and then add plausible sketches of the two allowed
: wave functions on separate horizontal axes whose heights
: are E1 and E2. (10 points)
: (b) Show that there is no bound state unless U0 is at least
: h2/32mL2. (Hint: What is the maximum wavelength possible
: within the well?) On the other hand, a finite well always has
: at least one bound state. Why? (10 points)
: (c) Obtain the energy quantization condition as a function of E.
: (10 points)
: (d) Find the two bound-state energies for a well in which
: U0=h2/2mL2. Compare the results to the infinite well and
: comment. (10 points)
: 老師只教我們infinite&finite 沒有教這種一半是infinite一半是finite
: 不曉得版大有人可以教我嗎?
: 謝謝謝謝
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※ 編輯: h816090 來自: 61.224.79.234 (11/30 18:09)
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