# Lorentz transformation of delta function

by Chenkb
Tags: delta, delta function, function, lorentz, lorentz boost, transformation
 P: 19 For two body decay, in CM frame, we know that the magnitude of the final particle momentum is a constant, which can be described by a delta function, ##\delta(|\vec{p^*}|-|\vec{p_0^*}|)##, ##|\vec{p_0^*}|## is a constant. When we go to lab frame (boost in z direction), what's the Lorentz transformation of the delta function? regards!
 P: 263 What do you mean by "which can be described by a delta function" ?
P: 19
 Quote by maajdl What do you mean by "which can be described by a delta function" ?
I mean that we can use a delta function to fix the momentum i.e. p=p0*.
Maybe my example of two body decay is not so suitable, but my question is just for mathematics, that is the Lorentz transformation of ##\delta(|\vec{p}|-|\vec{p_0^*}|)##