Solve the time-independent Schrodinger equation with appropriate boundary conditions for the centered infinite square well: V(x) = 0 (for —ax +a), V(x) = ∞ (otherwise). Check that your allowed energies are consistent with mine (Equation 2.27), and confirm that your i/r's can be obtained from mine (Equation 2.28) by the substitution x -» (x + a)¡2 (and appropriate renormalization). Sketch your first three solutions, and compare Figure 2.2. Note that the width of the well is now 2a.
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