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近畿大学工学部研究報告

多体問題とグリーン関数との関係の研究--グリーン関数と多体問題(10)量子統計力学(2)

邦夫 橋爪

Published Jan 1, 2008• 0 citations
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Abstract

In this paper, next subjects are discussed. §27. Review of the discussions in the previous sections (§§§8,9,10) of ensembles in quantum statistical mechanics. §28. Third law of thermodynamics. §29. The ideal gases discussed in canonical ensemble in quantum statistical mechanics. §30. The ideal gasesdiscussedincanonicalensembleinquantumstatisticalmechanics,§31.Theidealgasesdiscussedgases discussed in grand canonical ensemble in quantum statistical mechanics.

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In this paper, next subjects are discussed. §27. Review of the discussions in the previous sections (§§§8,9,10) of ensembles in quantum statistical mechanics. §28. Third law of thermodynamics. §29. The ideal gases discussed in canonical ensemble in quantum statistical mechanics. §30. The ideal gasesdiscussedincanonicalensembleinquantumstatisticalmechanics,§31.Theidealgasesdiscussedgases discussed in grand canonical ensemble in quantum statistical mechanics.
ln this paper, next subject is discussed, §32. The equation of state of an ideal gas. Here we consider the equation of state of a spinless ideal Fermi gas. ln high temperatures and low density, we obtain the form of a virial expansion of the equation of state. The corrections to the classical ideal gas law are due to quantum effects. The second virial coefficient is deduced. In low temperature and high densities, we obtain the expansion for the chemical potential in the expansion parameter /<ε_F>. Next we obtain the asynptotic expansion of the internal energyU in the expansion parameter /<ε_F>. We also obtain the specific heat at constant volume C_V.~