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Show that the partition function for a simple harmonic oscillator is e-Bwħ/2 1- e-Bhw (a) Calculate the internal energy, U and show that the high-temperature result is consistent with the equipar- tition theorem result. (b) Calculate the heat capacity, Cy and show that the high-temperature result is consistent with the equipar- tition theorem result. (c) Calculate the Helmholtz functiom. F

Show that the partition function for a simple harmonic oscillator is e-Bwħ/2 1- e-Bhw (a) Calculate the internal energy, U and show that the high-temperature result is consistent with the equipar- tition theorem result. (b) Calculate the heat capacity, Cy and show that the high-temperature result is consistent with the equipar- tition theorem result. (c) Calculate the Helmholtz functiom. F

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Show that the partition function for a simple harmonic oscillator is e-Bwħ/2 1-e-Bhw (a) Calculate the internal energy, U and show that the high-temperature result is consistent with the equipar- tition theorem result. (b) Calculate the heat capacity, Cy and show that the high-temperature result is consistent with the equipar- tition theorem result. (c) Calculate the Helmholtz function, F
Transcribed Image Text:Show that the partition function for a simple harmonic oscillator is e-Bwħ/2 1-e-Bhw (a) Calculate the internal energy, U and show that the high-temperature result is consistent with the equipar- tition theorem result. (b) Calculate the heat capacity, Cy and show that the high-temperature result is consistent with the equipar- tition theorem result. (c) Calculate the Helmholtz function, F
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