Starting from the equation for the matter wave of a free particle, derive a plausible form of operator for the momentum
Question
Solution 1
The wave function of a free particle is given by the de Broglie relation:
ψ = A * exp(i(kx - ωt))
where k is the wave number, ω is the angular frequency, x is the position, t is the time, and i is the imaginary unit.
The momentum of the particle is given by the de Broglie relation:
p = h * k
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