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Consider a degenerate electron gas in which essentially

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 22P Chapter 7

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 22P

Consider a degenerate electron gas in which essentially all of the electrons are highly relativistic (ϵ ≫ mc2), so that their energies are ϵ = pc (where p is the magnitude of the momentum vector).

(a) Modify the derivation given above to show that for a relativistic electron gas at zero temperature, the chemical potential (or Fermi energy) is given by µ = hc(3N/8πV)1/3.

(b) Find a formula for the total energy of this system in terms of N and µ.

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Chapter 7, Problem 22P is Solved
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Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

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