Distribution of energy

1. Nov 29, 2013

abccdef125

Hi,
i´m reading Landau´s mechanics and in the 4th chapter in the part disintegration of particles (16) i can´t figure out the following thing. We have a function T=(1/2)m(V2)+(1/2)m(v02) + mVv0cos(θ) , where V and v0 are constant in this problem. We also know the distribution of θ which is (1/2)sinθdθ. The goal is to get a distribution of T. Could you please explain to me how to get it? The book derives it in a way i can´t understand. Thanks in advance.

2. Nov 29, 2013

Simon Bridge

Welcome to PF;
The trick is to understand what the distribution means - i.e. what would the "distribution of T" tell you, once you have it? What is the "distribution of $\small \theta$" telling you?

3. Nov 30, 2013

abccdef125

Thanks, i went through it once more with your advice in mind and i finally understand it.

4. Nov 30, 2013

Simon Bridge

Well done :)

The next step is to find someone who is struggling and see if you can get them to understand.