Extreme relativistic particles have momenta p such that pc Mc2, where M is the rest mass of the particle The de Broglie relation h p for the quantum wavelength continues to apply Show that the mean energy per particle of an extreme relativistic ideal gas is 3 if pc, in contrast to 3 2 for the non r...

pc 2 c Ln Here we first used p 2 and then L n2 where L is the size of ...

Extreme relativistic particles have momenta p such that pc >> Mc2, where M is the rest mass

Question:

Extreme relativistic particles have momenta p such that pc >> Mc2, where M is the rest mass of the particle. The de Broglie relation λ = h/p for the quantum wavelength continues to apply. Show that the mean energy per particle of an extreme relativistic ideal gas is 3τ if ε ≡ pc, in contrast to 3/2 τ for the non-relativistic problem