Solving the Schrodinger Equation for Infinite Potential Wells
We solve the Schrodinger equation, after a brief introduction to quantum mechanics, for systems where we have zero potential energy within a given region, and infinite potential energy elsewhere. First, square wells are analyzed and generalized to the N-dimensional case. We then look at radial wells in two and three dimensions, discussing how the number of dimensions alters the solutions and the possibility of higher-dimensional generalization.
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Miller, Alyssa (2014-09-18)The current political climate suggests an overarching decrease in political partisanship in the United States. In order to test this theory, we will consider a differential equations model suited for two-group competition ...