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Problem 11.8. Let us consider a Fermi gas with spin 1/2 and mass m confined in the two dimen- sional domain sketched in Fig. 11.3: in the (x, y) plane, it is a triangle with base 2R and height R. This gas is at temperature T = 0 and is under the effect of a constant gravitational field g. Compute the average number N of fermions under the as-

Problem 11.8. Let us consider a Fermi gas with spin 1/2 and mass m confined in the two dimen- sional domain sketched in Fig. 11.3: in the (x, y) plane, it is a triangle with base 2R and height R. This gas is at temperature T = 0 and is under the effect of a constant gravitational field g. Compute the average number N of fermions under the as-

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Problem 11.8. Let us consider a Fermi gas with spin 1/2 and mass m confined in the two dimen- sional domain sketched in Fig. 11.3: in the (x, y) plane, it is a triangle with base 2R and height R. This gas is at temperature T = 0 and is under the effect of a constant gravitational field g. Compute the average number N of fermions under the as- sumption that the maximum height reached by the gas is exactly the height of the triangle.
Transcribed Image Text:Problem 11.8. Let us consider a Fermi gas with spin 1/2 and mass m confined in the two dimen- sional domain sketched in Fig. 11.3: in the (x, y) plane, it is a triangle with base 2R and height R. This gas is at temperature T = 0 and is under the effect of a constant gravitational field g. Compute the average number N of fermions under the as- sumption that the maximum height reached by the gas is exactly the height of the triangle.
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