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Solid state physics
lectures
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Solutions lecture 7
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Lars kleyn Winkel
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5 years ago
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918bbfe8
Update src/7_tight_binding_model_sol.md
· 918bbfe8
Lars kleyn Winkel
authored
5 years ago
src/7_tight_binding_model_sol.md
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@@ -36,7 +36,7 @@ Group velocity is given as $v=\hbar^{-1}\frac{\partial E}{\partial k}$ with $E=\
```
python
pyplot
.
subplot
(
1
,
2
,
1
)
k
=
np
.
linspace
(
-
pi
/
2
+
0.01
,
pi
/
2
-
0.01
,
300
)
pyplot
.
plot
(
k
,
np
.
sin
(
k
)
/
(
np
.
sqrt
(
1
-
np
.
cos
(
k
)));
pyplot
.
plot
(
k
,
np
.
sin
(
k
)
/
(
np
.
sqrt
(
1
-
np
.
cos
(
k
)))
)
;
pyplot
.
xlabel
(
'
$k$
'
);
pyplot
.
ylabel
(
'
$v(k)$
'
);
pyplot
.
xticks
([
-
pi
/
2
,
0
,
pi
/
2
],
[
r
'
$-\pi/2$
'
,
0
,
r
'
$\pi/2$
'
]);
pyplot
.
yticks
([
0
,
1
],
[
0
,
r
'
$2\sqrt{\frac{\kappa}{m}}$
'
]);
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