At time t = 0, a free particle is in a state described by the normalised wave function V(x, 0) where = L A(k) eikz dk, 2π 1/2 a A(k) = (-¹² e-d³²k²/2, and where a is a real positive constant. Estimate the probability that, at time t = 0, the particle's momentum is in the range 1.99h/a ≤ hk ≤ 2.01h/a.
At time t = 0, a free particle is in a state described by the normalised wave function V(x, 0) where = L A(k) eikz dk, 2π 1/2 a A(k) = (-¹² e-d³²k²/2, and where a is a real positive constant. Estimate the probability that, at time t = 0, the particle's momentum is in the range 1.99h/a ≤ hk ≤ 2.01h/a.
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Transcribed Image Text:At time t = 0, a free particle is in a state described by the normalised
wave function
V(x, 0)
where
=
L A(k) eikz dk,
2π
1/2
a
A(k) = (-¹² e-d³²k²/2,
and where a is a real positive constant.
Estimate the probability that, at time t = 0, the particle's momentum
is in the range 1.99h/a ≤ hk ≤ 2.01h/a.
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