Place magnetic monopole at origin of 3-d space. An electron probing the monopole is in tex2html_wrap94 . Sufficient to consider tex2html_wrap95 . Make tex2html_wrap96 bundle over tex2html_wrap95 . Cover with 2 open sets: tex2html_wrap98 , tex2html_wrap99 similarly defined.

Local trivialization on northern hemisphere: tex2html_wrap100 for tex2html_wrap101 , and similarly with southern hemisphere. Then tex2html_wrap102 n = magnetic charge, which is quantized. In other words, tex2html_wrap103 .


source
psfile jl@crush.caltech.edu index
line_bundle