[理工] [近物] 狹相能量展開
相對論求動能展開
1.
K=E-mc^2
mc^2
= ─────── - mc^2 = { [ 1-(v/c)^2 ]^-0.5 - 1 }mc^2
[ 1-(v/c)^2 ]
1 3mv^4
= ─mv^2 + ─── + ...
2 8c^2
2.
K=E-mc^2
= [ (mc^2)^2 + (pc)^2 ]^0.5 - mc^2
p
= { [ 1 + (──)^2 ]^0.5 - 1 }mc^2
mc
1 mv^4
= ─mv^2 - ─── + ...
2 8c^2
問題出在哪邊呢??
還是不同的題目要用不同的做法??
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