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Multiple choice
In the continuous position basis, a particle's wavefunction
ψ
(
x
)
\psi(x)
ψ
(
x
)
is identified with which of the following?
The Dirac delta
⟨
x
∣
x
′
⟩
\langle x|x'\rangle
⟨
x
∣
x
′
⟩
evaluated at
x
′
=
x
x' = x
x
′
=
x
The eigenvalue of the position operator at the point
x
x
x
The probability of finding the particle exactly at
x
x
x
, equal to
∣
ψ
(
x
)
∣
|\psi(x)|
∣
ψ
(
x
)
∣
The component of the abstract state along the position eigenket,
ψ
(
x
)
=
⟨
x
∣
ψ
⟩
\psi(x) = \langle x|\psi\rangle
ψ
(
x
)
=
⟨
x
∣
ψ
⟩
Check answer