Solve the time-independent Schrdinger equation with appropriate boundary conditions for the centered infinite square well: V (x)

Solve the time-independent Schrödinger equation with appropriate boundary conditions for the “centered” infinite square well:  V (x) = 0 (for -α < x < + α), V (x) = ∞ (otherwise). Check that your allowed energies are consistent with mine (Equation 2.30), and confirm that your Ψs can be obtained from mine (Equation 2.31) by the substitution x → (x + α)/2  (and appropriate renormalization). Sketch your first three solutions, and compare Figure 2.2. Note that the width of the well is now 2α.

Figure 2.2

Transcribed Image Text:

En = 원래 거래 = 2m 2ma2 (2.30)