Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 5.3, Problem 5.22P
To determine
The Fermi temperature of helium-3.
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A system containing a single particle in a rigid container at temperature 100 K has a translational partition function of Ztrans = 1.5 × 1012.
(a) If the mass of the particle is doubled, what is the new value for ztrans? Report your answer in scientific notation (in Blackboard, 1.23 x
1045 is written 1.23E45).
Problem 1: Fermi temperature of the sun
At the center of the sun, the temperature is approximately 107K and the concentration of
electrons is approximately 1032 per cubic meter. Would it be (approximately) valid to
treat these electrons as a classical gas (using Boltzmann statistics), or as a degenerate
Fermi gas (with T × 0), or neither?
Liquid He (consisting of just a single isotope He-4, which is a boson) undergoes a super-
fluid transition at temperature T = 2.16K. At this temperature, it has a mass density of
0.145g/cm³. Make an assumption that liquid helium behaves like an ideal gas and compute
the critical temperature for Bose-Einstein condensation. Express your answer in Kelvins.
What is the mass density of He atoms at excited states at this temperature? Express your
answer in g/cm³ units. What can be said about the chemical potential of He-4 atoms at this
point?
Chapter 5 Solutions
Introduction To Quantum Mechanics
Ch. 5.1 - Prob. 5.1PCh. 5.1 - Prob. 5.2PCh. 5.1 - Prob. 5.3PCh. 5.1 - Prob. 5.4PCh. 5.1 - Prob. 5.5PCh. 5.1 - Prob. 5.6PCh. 5.1 - Prob. 5.8PCh. 5.1 - Prob. 5.9PCh. 5.1 - Prob. 5.10PCh. 5.1 - Prob. 5.11P
Ch. 5.2 - Prob. 5.12PCh. 5.2 - Prob. 5.13PCh. 5.2 - Prob. 5.14PCh. 5.2 - Prob. 5.15PCh. 5.2 - Prob. 5.16PCh. 5.2 - Prob. 5.17PCh. 5.2 - Prob. 5.18PCh. 5.2 - Prob. 5.19PCh. 5.3 - Prob. 5.20PCh. 5.3 - Prob. 5.21PCh. 5.3 - Prob. 5.22PCh. 5.3 - Prob. 5.23PCh. 5.3 - Prob. 5.24PCh. 5.3 - Prob. 5.25PCh. 5.3 - Prob. 5.26PCh. 5.3 - Prob. 5.27PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - Prob. 5.35PCh. 5 - Prob. 5.36PCh. 5 - Prob. 5.38PCh. 5 - Prob. 5.39P
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