Answer to Question #295 in Quantum Mechanics for leo

Question #295

Freely moving non-relativistic particle has a relative uncertainty of the kinetic energy of about 1.6 ∙ 10^(-4). Estimate how much the coordinate uncertainty of such particle is bigger than its de Broglie wavelength.

Expert's answer

Δx/λ ≈ 1/√((πΔT)/T) = 2 * 10³

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