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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4908425-6b77-4ea0-88fa-d88faee532f6%2Fc2c1df34-3b41-4be1-b4ea-a04f89547a6e%2F6h6igc_processed.jpeg&w=3840&q=75)
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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