Static forces and virtual-particle exchange: Difference between revisions

Revision as of 14:49, 23 August 2010

Revision as of 14:52, 23 August 2010

Line 511:

. </math>

For small mmr the integral becomes

:<math>

\int_o^{\infty}I_1 {k\;left( dkmr \over k^2 +m^2} \mathcal J_1^2right)K_1 \left( krmr \right)

\rightarrow

{1\over 2 }\left([ 1+ {1\over 8}\left( mr \right)^2\over 8} \right)]

. </math>

For large rmr the integral becomes

:<math>

\int_o^{\infty}I_1 {k\;left( dkmr \over k^2 +m^2} \mathcal J_1^2right)K_1 \left( krmr \right)

\rightarrow

{1\over 2}\;\left( {1\over mr}\right)