Abstract
In the modern theory of electronic conduction the electrons are considered, when the thermal motion of the lattice is neglected, as moving in a periodic potential with the property V (
x
+
la
,
y
+
ma
,
z
+
na
) = V (
x, y, z
). The wave equation for an electron in this field is {
h
2/8π2
m
∇
2
+ E
K
- V} ψ
K
= 0. Block has shown that this equation has solutions of the form ψ
K
=
e
i
K.R
U
K
(R), where U
K
has the periodicity of the lattice.
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