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Multiple choice
In one-dimensional wave mechanics, what is the momentum operator
p
^
\hat{p}
p
^
acting on a wave function
ψ
(
x
)
\psi(x)
ψ
(
x
)
in the position representation?
🔬 try it before you answer
+
i
ℏ
⋅
d
/
d
x
+i\hbar \cdot d/dx
+
i
ℏ
⋅
d
/
d
x
(the spatial derivative, times
+
i
ℏ
+i\hbar
+
i
ℏ
)
−
i
ℏ
⋅
d
/
d
x
-i\hbar \cdot d/dx
−
i
ℏ
⋅
d
/
d
x
(the spatial derivative, times
−
i
ℏ
-i\hbar
−
i
ℏ
)
Multiplication of
ψ
(
x
)
\psi(x)
ψ
(
x
)
by the value
x
x
x
−
ℏ
2
/
(
2
m
)
⋅
d
2
/
d
x
2
-\hbar^2/(2m) \cdot d^2/dx^2
−
ℏ
2
/
(
2
m
)
⋅
d
2
/
d
x
2
(the second derivative)
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