Bloch Theorem. The figures below show the phase of the wavefunction for two states of an electron in a periodic Coulomb potential in the first energy band. Which electron has the larger wavenumber k and why? 0.5 0 -0.5 -1 -2 0 Electron State (I) 2 -phase (x)m potential V(x) 4 6 X x (10-10 m) .. " 11 13 8 10 3 12 0.5 0 -0.5 -2 Electron State (II) -phase (xym potential V(X) 0 2 4 6 x (10-10 m) X " 11 11 " 8 10 12

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Chapter7: Quantum Mechanics
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Problem 13CQ: Suppose a wave function is discontinuous at some point. Can this function represent a quantum state...
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Bloch Theorem. The figures below show the phase of the wavefunction Y for two states of
an electron in a periodic Coulomb potential in the first energy band. Which electron has the
larger wavenumber k and why?
0.5
-0.5
-1
-2
"
"
0
Electron State (I)
2
-phase (x)
potential V(x)
4
6
x(10-10 m)
"1
11
11
13
8
10
J
12
0.5
0
-0.5
-1
-2
Electron State (II)
-phase (xy
potential V(x)
2
C
4
6
x (10-10 m)
X
11
11
11
13
8
10
12
Transcribed Image Text:Bloch Theorem. The figures below show the phase of the wavefunction Y for two states of an electron in a periodic Coulomb potential in the first energy band. Which electron has the larger wavenumber k and why? 0.5 -0.5 -1 -2 " " 0 Electron State (I) 2 -phase (x) potential V(x) 4 6 x(10-10 m) "1 11 11 13 8 10 J 12 0.5 0 -0.5 -1 -2 Electron State (II) -phase (xy potential V(x) 2 C 4 6 x (10-10 m) X 11 11 11 13 8 10 12
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