Calculate the probability distribution

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Two one-dimensional relativistic particles

Consider two one-dimensional relativistic ideal-gas particles with masses confined to a one-dimensional box of length L. Because they are relativistic, their energies are given by EA = |pA|c and EA = |pB|c. Assume that the particles are in thermal equilibrium with each other, and that the total kinetic energy is E = EA + EB. Use the usual assumption that the probability density is uniform in phase space, subject to the constraints. Calculate the probability distribution P(EA) for the energy of one of the particles.

Reference no: EM131342900

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