Answered: Consider a free Fermi gas in two…

Consider a free Fermi gas in two dimensions, confined to a squarearea A = L2. Find the Fermi energy (in terms of N and A), and show that the average energy of the particles is €F /2.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter42: Molecules And Solids

Section: Chapter Questions

Problem 21P

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Question

Consider a free Fermi gas in two dimensions, confined to a square
area A = L².

Find the Fermi energy (in terms of N and A), and show that the average energy of the particles is €_F /2.

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