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Time evolution Operator
Time-evolution Operator
Feb 09, 2025
1 min read
Physics
U
^
(
t
)
Ψ
(
x
,
0
)
=
Ψ
(
x
,
t
)
U
^
(
t
)
is the time-evolution operator here
U
^
(
t
)
=
exp
(
−
ℏ
i
t
H
^
)
Graph View
Table of Contents
U
^
(
t
)
Ψ
(
x
,
0
)
=
Ψ
(
x
,
t
)
\displaystyle \hat{U}(t)\Psi(x,0)=\Psi(x,t)
U
^
(
t
)
Ψ
(
x
,
0
)
=
Ψ
(
x
,
t
)
U
^
(
t
)
=
exp
(
−
i
t
ℏ
H
^
)
\displaystyle \hat{U}(t)=\exp\left( -\frac{it}{\hbar}\hat{H} \right)
U
^
(
t
)
=
exp
(
−
ℏ
i
t
H
^
)
Backlinks
Heisenberg-picture Operators
Quantum Operators