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Advances in Mathematical Physics
/
2009
/
Article
/
Fig 15
/
Review Article
Time as a Quantum Observable, Canonically Conjugated to Energy, and Foundations of Self-Consistent Time Analysis of Quantum Processes
Figure 15
𝜎
i
n
c
,
𝑘
𝐸
𝑘
=
2
𝑛
=
1
|
|
|
|
𝐶
𝑛
e
x
p
𝑖
𝑡
𝑛
−
𝜏
𝑛
2
𝐸
𝑘
ℏ
|
|
|
|
2
=
2
𝑛
=
1
|
|
𝐶
𝑛
|
|
2
−
𝐸
e
x
p
𝑘
𝜏
𝑛
ℏ
+
2
R
e
𝐶
∗
1
𝐶
2
𝑖
𝑡
e
x
p
2
−
𝑡
1
−
𝜏
1
+
𝜏
2
2
𝐸
𝑘
ℏ
.
(
4
.
3
5
)
(curve 1) and
𝜎
i
n
c
,
𝑘
(
𝐸
𝑘
)
(curve 2).