partition functions
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![a) Show that if the total energy ε of a single particle state can be written as the sum of independent
energies EiA, εiB, εic... then its partition function will factorise into a product of partition functions
ZAZBZC.
b) Given the factorisation, show how the free energy F and quantities such as S and Cy can be
expressed as a sum of terms dependent on the sources A, B, C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b765a29-fcb0-4895-9cef-5ef60c256f5b%2Fec4249c7-9c88-48f9-8eb6-84d7ddf9f044%2F5uvw1gu_processed.png&w=3840&q=75)
Transcribed Image Text:a) Show that if the total energy ε of a single particle state can be written as the sum of independent
energies EiA, εiB, εic... then its partition function will factorise into a product of partition functions
ZAZBZC.
b) Given the factorisation, show how the free energy F and quantities such as S and Cy can be
expressed as a sum of terms dependent on the sources A, B, C.
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