Show that at high enough temperatures (where KBT » ħw) the partition function of a simple quantum mechanical harmonic oscillator is approximately Z≈ (Bħw)-¹ Then use the partition function to calculate the high temperature expressions for the internal energy U, the heat capacity Cy, the Helmholtz function F and the entropy S.
Show that at high enough temperatures (where KBT » ħw) the partition function of a simple quantum mechanical harmonic oscillator is approximately Z≈ (Bħw)-¹ Then use the partition function to calculate the high temperature expressions for the internal energy U, the heat capacity Cy, the Helmholtz function F and the entropy S.
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Transcribed Image Text:Show that at high enough temperatures (where KBT » ħw) the partition
function of a simple quantum mechanical harmonic oscillator is approximately
Z≈ (Bħw)-¹
Then use the partition function to calculate the high temperature expressions for the
internal energy U, the heat capacity Cy, the Helmholtz function F and the entropy S.
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