Consider a gas of N fermions. (i) At T = 0, what does the Fermi momentum represent? (ii) Consider the occupation number for state i, (n;). In the limit of T → 0, what are the possible values (n¿) can take? Explain your answer in terms of the relative values of the energy of the state and the chemical potential.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter1: Gases And The Zeroth Law Of Thermodynamics
Section: Chapter Questions
Problem 1.74E
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Consider a gas of N fermions.
(i)
At T = 0, what does the Fermi momentum represent?
(ii)
Consider the occupation number for state i, (n;). In the limit
of T → 0, what are the possible values (n;) can take? Explain
your answer in terms of the relative values of the energy of
the state and the chemical potential.
Transcribed Image Text:Consider a gas of N fermions. (i) At T = 0, what does the Fermi momentum represent? (ii) Consider the occupation number for state i, (n;). In the limit of T → 0, what are the possible values (n;) can take? Explain your answer in terms of the relative values of the energy of the state and the chemical potential.
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ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,