(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.)

(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.)

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Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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.)

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