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ID: 1769116 • Letter: P

Question

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Consider a half-infinite square well in which the potential is infinite for x < 0 and finite potential with a value v0 for x > a and zero potential energy everywhere else. The energy eigenstates are exactly one set of the solutions to the finite well problem (i.e., the equations found below ). Explain why this is true.

Please show all your work. If you upload an image please make sure your answers are clear and your writing is legible. Please print your answers and do not write in script or cursive. Consider a half-infinite square well in which the potential is infinite for x a and zero potential energy everywhere else. The energy eigenstates are exactly one set of the solutions to the finite well problem (i.e., the equations found below ). Explain why this is true. -k cot(ka) = q.

Explanation / Answer

The figures speak for themselves. As the text says, the finite well is between

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