A free neutron (mass ) is localised in a wavepacket of initial width at

PHYSICS · Subjective · Fermi University Physics · Oscillations, Waves & Acoustics · Quantum Mechanics · Wave mechanics in one dimension

Modes, Packets and Media, Ch Water waves and de Broglie waves

Problem

A free neutron (mass mn=1.675×10−27 kgm_{\rm n} = 1.675\times10^{-27}\,\mathrm{kg}) is localised in a wavepacket of initial width σ0=1.0 nm\sigma_0 = 1.0\,\mathrm{nm} at t=0t = 0. Using the reduced Planck constant ℏ=1.055×10−34 J s\hbar = 1.055\times10^{-34}\,\mathrm{J\,s}, estimate the time after which the packet has spread appreciably beyond its initial width.

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