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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