4. Consider a particle of mass m moving in one dimension confined t...

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4. Consider a particle of mass m moving in one dimension confined to the positive x-axis by a potential energy of the form: V = 00 for X <0 and V = -Al x for x > 0, where A is a positive constant. c) Now consider an exact analysis which involves solving the Schrödinger equation (SE). What are the appropriate length (1) and energy (u) scales associated with this problem? Your answers should be in terms of m, h, A. It may prove useful to utilize dimensional analysis. Write down the time independent SE in terms of the dimensionless parameters y = x/l and E = E/u. d) Consider the limiting behavior when y >>1. How does y behave in this limit? Is there more than one possibility? If so, what principle may be used to choose between the alternatives?

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