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LIMITATIONS OF GAUGE INVARIANCE

LIMITATIONS OF GAUGE INVARIANCE

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ATOMIC UNITS<br />

1; m 1; e 1, or q 1<br />

e<br />

1 c<br />

c 137.<br />

2<br />

e<br />

DIPOLE APPROXIMATION<br />

Rather than dealing formally with a multipole expansion, the dipole<br />

approximation is regarded as implying 2 properties:<br />

t kr<br />

t<br />

B =0<br />

This leads to two forms of the Schrödinger equation, where V(r) is the<br />

atomic binding potential:<br />

e<br />

21

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