2. Consider the potential shown: V (x) -kx, x < 0 x > 0 (1) ∞ where k is a positive constant. Call the ground state energy eigenfunction of this well ₁(x), with energy E₁. The fourth excited state would be called 95(x), with energy E5. In your answers to the questions below, please indicate in words interesting features, e.g. sign of concavity, where zeros are, where there is decay or oscillation, forbidden regions, etc. (a) Sketch the ground state, 4₁(x), (b) Sketch the excited state, 5(x) V(x) I V(x) I x=0 E5 E₁ X
2. Consider the potential shown: V (x) -kx, x < 0 x > 0 (1) ∞ where k is a positive constant. Call the ground state energy eigenfunction of this well ₁(x), with energy E₁. The fourth excited state would be called 95(x), with energy E5. In your answers to the questions below, please indicate in words interesting features, e.g. sign of concavity, where zeros are, where there is decay or oscillation, forbidden regions, etc. (a) Sketch the ground state, 4₁(x), (b) Sketch the excited state, 5(x) V(x) I V(x) I x=0 E5 E₁ X
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Transcribed Image Text:2. Consider the potential shown:
-kx,
x < 0
V (x) {
∞
x > 0
2
where k is a positive constant. Call the
ground state energy eigenfunction of this
well ₁(x), with energy E₁. The fourth
excited state would be called 45(x), with
energy E5.
In your answers to the questions below,
please indicate in words interesting
features, e.g. sign of concavity, where zeros
are, where there is decay or oscillation,
forbidden regions, etc.
(a) Sketch the ground state, 4₁(x),
(b) Sketch the excited state, 45(x)
V(x)
I
I
V(x)
I
x=0
E5
E₁
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