(Kittel 6.4) Energy of gas of extreme relativistic particles. 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 3 37 if & pc in contrast to 7 for the nonrelativistic problem. (An interesting variety 2 of relativistic problems are discussed by E. Fermi in Notes on Thermodynamics and Statistics, University of Chicago Press, 1966, paperback.)

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter6: Photons And Matter Waves
Section: Chapter Questions
Problem 156AP: In a supercollider at CERN, protons are accelerated to velocities of 0.25c. What are their...
icon
Related questions
icon
Concept explainers
Question
1. (Kittel 6.4) Energy of gas of extreme relativistic particles. 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
3
37 if & pc in contrast to for the nonrelativistic problem. (An interesting variety
2
of relativistic problems are discussed by E. Fermi in Notes on Thermodynamics and
Statistics, University of Chicago Press, 1966, paperback.)
Transcribed Image Text:1. (Kittel 6.4) Energy of gas of extreme relativistic particles. 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 3 37 if & pc in contrast to for the nonrelativistic problem. (An interesting variety 2 of relativistic problems are discussed by E. Fermi in Notes on Thermodynamics and Statistics, University of Chicago Press, 1966, paperback.)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Stellar evolution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 3
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Inquiry into Physics
Inquiry into Physics
Physics
ISBN:
9781337515863
Author:
Ostdiek
Publisher:
Cengage