An electron wave packet confined initially to nm has a doubling time .

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Wave mechanics in one dimension · Wave mechanics in one dimension

Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch Free particles, wave packets and tunnelling

Problem

An electron wave packet confined initially to Δx0=0.20\Delta x_0 = 0.20 nm has a doubling time t2t_2. ((a)) If instead the electron is confined more tightly, to Δx0=0.05\Delta x_0 = 0.05 nm, by what factor does t2t_2 change? ((b)) If instead a proton (mp=1836 mem_p = 1836\,m_e) is confined to the original Δx0=0.20\Delta x_0 = 0.20 nm, by what factor does t2t_2 change relative to the electron?

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