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Составители:
¤
ˆ
A
ˆ
B
G
hG
n
0
|
ˆ
A
ˆ
B |G
n
i
hG
n
0
|
ˆ
A
ˆ
B |G
n
i = hG
n
0
|
ˆ
A
ˆ
1
ˆ
B |G
n
i = hG
n
0
|
ˆ
A
X
n
00
|G
n
00
ihG
n
00
|
ˆ
B |G
n
i.
hG
n
0
|
ˆ
A
ˆ
B |G
n
i =
X
n
00
hG
n
0
|
ˆ
A |G
n
00
ihG
n
00
|
ˆ
B |G
n
i,
¤
a
hn|x |ni =
1
2
a
hn
0
|x |ni =
a
π
2
(
(−1)
n
0
−n
− 1
(n
0
− n)
2
−
(−1)
n
0
+n
− 1
(n
0
+ n)
2
)
n, n
0
= 1, 2, . . . n 6= n
0
ˆ
F = cos ϕ
hm
0
|cos ϕ |mi =
1
2
(δ
m
0
,m+1
+ δ
m
0
,m−1
)
hm ± 1|cos ϕ |mi =
1
2
x
2
m ω
hn ± 2|x
2
|ni =
x
2
0
2
p
(n + 1 ± 1)(n ± 1) hn|x
2
|ni = x
2
0
µ
n +
1
2
¶
n =
0, 1, . . . x
2
0
= }/mω
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