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Atomic01 - University of Cape Town

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PHY322S Atomic Physics .<br />

Problems with atom as classical object<br />

All hydrogen atoms alike: r = a 0 ∼ 0.53 × 10 −10 m.<br />

Classical atom (Coulomb force provides centripetal force):<br />

mv 2 /r = (1/4πɛ 0 )e 2 /r 2<br />

Problems:<br />

1) Atom could be any size: If r(t) is solution; scale by k and k 2 r(t/k 3 ) is<br />

ALSO a solution. Who sets k?<br />

2) Atom is unstable. Accelerate charge radiates, so spirals in. Lifetime<br />

∼ 10 −11 s<br />

/...<br />

9

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