Solving the Schrodinger Equation for Infinite Potential Wells
Subjects
Schrodinger EquationAbstract
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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Differential Equations (MTH)
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Differential Equations (MTH)
Haley Yaple