Question

2. Consider the semi-finite square well potential shown below where V(x) = \infty for x < 0 = 0 for 0 \leq x \leq L = finite constant for x > L energy V(x) E_3 E_2 E_1 0 L x V(x) As we did in class for a symmetric finite square well, sketch the eigenfunctions $V_i(x)$ to $V_3(x)$ corresponding to the energy eigenvalues $E_1$ to $E_3$ (ground through 2$^{nd}$ excited state). Make sure your sketch is clearly labeled so that its behavior in the regions x < 0, 0 \leq x \leq L, and x > L can be determined.

          2. Consider the semi-finite square well potential shown below where
V(x) = \infty for x < 0
= 0 for 0 \leq x \leq L
= finite constant for x > L
energy
V(x)
E_3
E_2
E_1
0
L
x
V(x)
As we did in class for a symmetric finite square well, sketch the eigenfunctions $V_i(x)$ to
$V_3(x)$ corresponding to the energy eigenvalues $E_1$ to $E_3$ (ground through 2$^{nd}$ excited state).
Make sure your sketch is clearly labeled so that its behavior in the regions x < 0, 0 \leq x \leq L,
and x > L can be determined.

2. Consider the semi-finite square well potential shown below where
V(x) = ∞for x < 0
= 0 for 0 ≤x ≤L
= finite constant for x > L
energy
V(x)
E3
E2
E1
0
L
x
V(x)
As we did in class for a symmetric finite square well, sketch the eigenfunctions Vi(x) to
V3(x) corresponding to the energy eigenvalues E1 to E3 (ground through 2^nd excited state).
Make sure your sketch is clearly labeled so that its behavior in the regions x < 0, 0 ≤x ≤L,
and x > L can be determined.

Added by Holly J.

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