The uncertainty of momentum compared to the value of the momentum of the particle is Δp ≈ p/2π
In 1924 Louis de Broglie proposed the hypothesis that a moving particle having momentum p could behave as a wave. It is characterized by the presence of a wavelength known as the wavelength of a particle.
The uncertainty in a position is:
ΔxΔp ≈ h
If Δx = λ, the above equity on become as
ΔxΔp ≈ h
λΔp ≈ h
λΔp ≈ h/2π
Δp ≈ h/2πλ
Δp ≈ (h/λ)/2π
Δp ≈ p/2π
With:
p is momentum
h is Planck's constant
λ is the wavelength
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