- #1
matt_crouch
- 161
- 1
Basically I am trying to lorentz transform the magnetic field along θ of a bunch particles which have a gaussian distribution to the radial electric field. However the magnetic field in θ is dependent on the longitiudinal distribution.
Now initially i thought we would just use the standard LT,
x=x'
y=y'
s'=/gamma (s-βct).
Now someone suggested to me that infact the transform will be non trivial when a longitudinal dependent radial field is perpendicular to the boost axis.
Can someone suggest some literature that would point me in the right direction?
Just for reference the field follows as,
B_{\theta}=Const \times r^(-1/2)e^{-r^{2}/2*sigma_{r}^{2}} e^{-s^{2}/2\sigma_{s}^{2}}
Sorry i am not sure how to make it latex
Now initially i thought we would just use the standard LT,
x=x'
y=y'
s'=/gamma (s-βct).
Now someone suggested to me that infact the transform will be non trivial when a longitudinal dependent radial field is perpendicular to the boost axis.
Can someone suggest some literature that would point me in the right direction?
Just for reference the field follows as,
B_{\theta}=Const \times r^(-1/2)e^{-r^{2}/2*sigma_{r}^{2}} e^{-s^{2}/2\sigma_{s}^{2}}
Sorry i am not sure how to make it latex
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