我也想问E的求解耶 老师要我们求E1 E2 ? 当然要先求出k=(2mE)^(1/2) / hbar 但是我把边界条件 1. x=L 一微连续 2. x=L 函数连续 3. x=0 函数连续 三个边界条件列出来 还是解不出E >"< 有人可以指点一下KEY POINT吗? 谢谢 对不起数学不好>"< ※ 引述《jsschen (jsschen)》之铭言： : 这是近物的一题: : 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) : 老师只教我们infinite&finite 没有教这种一半是infinite一半是finite : 不晓得版大有人可以教我吗? : 谢谢谢谢 --

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