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10.2 Superposition of time-dependent
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10. Time dependent wave
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10. Time dependent wave
10.1 correspondence between time-dependent and time-independent solutions
The time dependent Schrödinger equation is
-
(
x
,
t
) +
V
(
x
)
(
x
,
t
) =
(
x
,
t
).
(10.1)
As we remember, a solution of the form
(
x
,
t
) =
(
x
)
e
-iEt/
(10.2)
leads to a solution of the time-independent Schrödinger equation of the form
-
(
x
) +
V
(
x
)
(
x
) =
E
(
x
).
(10.3)
© 1998 Niels Walet, UMIST
Email
Niels.Walet@umist.ac.uk