A particle is described by the following normalized superposition wavefunction: Y(x)= =√(si sin()+sin(- -sin(2x)). va a a What is the average kinetic energy?
A particle is described by the following normalized superposition wavefunction: Y(x)= =√(si sin()+sin(- -sin(2x)). va a a What is the average kinetic energy?
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Transcribed Image Text:11. A particle is described by the following normalized superposition wavefunction:
Y(x)=sin(x)+sin(
in (2x)).
a
va
a
What is the average kinetic energy?
Hint: Kinteic energy operator:
ħ² a²
2m ax²
Standard integrals: sin(*) sin(2x),
a
a
A)
B)
C)
D)
E)
3h²
8ma²
h²
2ma²
Sh²
8ma
Sh²
16ma²
h²
8ma²
=)dx=0 and [sin (by)dy=
y sin(2by)
4b
)
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