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Multiple choice
The probability density
ρ
=
∣
ψ
∣
2
\rho = |\psi|^2
ρ
=
∣
ψ
∣
2
and the probability current
J
J
J
obey the continuity equation derived from the Schrodinger equation. What is the correct form of this equation in one dimension?
🔬 try it before you answer
d
(
ρ
)
/
d
t
+
d
(
J
)
/
d
x
=
ρ
d(\rho)/dt + d(J)/dx = \rho
d
(
ρ
)
/
d
t
+
d
(
J
)
/
d
x
=
ρ
d
(
ρ
)
/
d
t
⋅
d
(
J
)
/
d
x
=
1
d(\rho)/dt \cdot d(J)/dx = 1
d
(
ρ
)
/
d
t
⋅
d
(
J
)
/
d
x
=
1
d
(
ρ
)
/
d
t
+
d
(
J
)
/
d
x
=
0
d(\rho)/dt + d(J)/dx = 0
d
(
ρ
)
/
d
t
+
d
(
J
)
/
d
x
=
0
d
(
ρ
)
/
d
t
−
d
(
J
)
/
d
x
=
0
d(\rho)/dt - d(J)/dx = 0
d
(
ρ
)
/
d
t
−
d
(
J
)
/
d
x
=
0
Check answer