Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Consider the ideal ultrarelativistic gas Hamiltonian $\mathbf{H = }\sum_{i = 1}^N \mathbf{c |\vec{p_{i}}|}$, now if we let molecules to interact with a potential term like $\mathbf{d|\vec{q_{i}}|}$; is it still possible to find density of states $\omega(E)$?

share|cite|improve this question
What is this 'ultra-relativistic gas Hamiltonian', have you got a reference for this? – Killercam Feb 16 '13 at 15:02
@Killercam $E^2=m^2c^4+p^2c^2$. Ultrarelativistic means $cp >> mc^2$ so that $E\approx cp$ – Jorge Feb 17 '13 at 19:18
Thanks for that, but that was not my question... – Killercam Feb 17 '13 at 19:24
up vote 0 down vote accepted

If the system is at equilibrium then $w$ is proportional to $\exp(-\beta H)$. This result is independent of the specific form of $H$.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.