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5. Give short descriptive answers to the following questions (you can support your explanations and arguments with some formulas /ca.lculations if you wish). (a) (5

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5. Give short descriptive answers to the following questions (you can support your explanations and arguments with some formulas /ca.lculations if you wish). (a) (5 pts) We have seen that in a nite square well, no matter how shallow the well is, there will always be at least one possible bound state. Now imagine that one of the wall of the well is instead infinitely high. In this case, is it still true that there will always be at least one possible bound state, no matter how shallow the well is? Explain why or why not. (b) (5 pts) A particle of mass an inside a nite square well (i.e. bound state) has a nonzero probability to be found outside the well. Is the kinetic energy of the particle, in this classically forbidden region just outside the well, negative or positive? Why? (c) (5 pts) For the hydrogen atom, what is the degeneracy of the third excited state? (i.e. the number of different eigenstates that share the same energy value)

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