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Ψ
a
(r) a
r Ψ
a
(r)
a
Ψ
a
(r)
a Ψ
a
(r)
a c
a
(G
n
)
Ψ
a
(r)
Ψ
a
(r) =
X
n
c
a
(G
n
)Φ
G
n
(r)
Φ
G
n
(r)
ˆ
G
ˆ
GΦ
G
n
= G
n
Φ
G
n
Ψ
a
(r) Ψ
a
(r)
c
a
(G
n
)
c
a
(G
n
) Ψ
a
(r)
Ψ
a
(r) c
a
(G
n
)
c
a
(G
n
) =
Z
Φ
∗
G
n
(r)Ψ
a
(r) d
3
r.
c
a
(G
n
)
a G |c
a
(G
n
)|
2
G
G
a
ˆ
G
G
n
Ψ
a
(r) =
Z
c
a
(G)Φ
G
(r) dG;
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2 Ψ (r) a n)
a
Ψ (r) =
X
c (G )Φ (r)
9 Z 7 0/?
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a a n Gn
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3) Ψ (r) ;)a- 2 n 3Q 4?5[> c (G ) A a
a a n
ca (Gn ) =
Z
Φ∗Gn (r)Ψa (r) d3 r.
9 Z 7 ?
; 2 EFQ N c (G ) ) EF ! 2 -Q'&(%"X Q$!#%!#
2 2 a G R > K 5 F| E B=aB 7 nIR#- |c (G )|2 9</7 7F" / **- 2
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+ %* A
Ψa (r) =
Z
ca (G)ΦG (r) dG;
9 Z 7Z ?
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