Problem 12.13. Let us consider a generic ideal quantum gas of bosons in a volume V at temperature T. Show that the following relation for the entropy S = kE i [-- niln- ni+ (1+- ni)ln(1+- ni)] holds. In the above expression, - ni represents the occupation number for the i-th energy level. What does it happen in the case of fermions?
Problem 12.13. Let us consider a generic ideal quantum gas of bosons in a volume V at temperature T. Show that the following relation for the entropy S = kE i [-- niln- ni+ (1+- ni)ln(1+- ni)] holds. In the above expression, - ni represents the occupation number for the i-th energy level. What does it happen in the case of fermions?
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![Problem 12.13.
Let us consider a generic ideal quantum gas of bosons in a volume V at temperature
T. Show that the following relation for the entropy
S = kE
i
[--
niln-
ni+ (1+-
ni)ln(1+-
ni)]
holds. In the above expression, -
ni represents the occupation number for the i-th
energy level. What does it happen in the case of fermions?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4377506-1e17-46ce-a35b-eea6fb235797%2F6c9d0bbb-392a-436a-825d-aa4087343fbc%2F5vadn4_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 12.13.
Let us consider a generic ideal quantum gas of bosons in a volume V at temperature
T. Show that the following relation for the entropy
S = kE
i
[--
niln-
ni+ (1+-
ni)ln(1+-
ni)]
holds. In the above expression, -
ni represents the occupation number for the i-th
energy level. What does it happen in the case of fermions?
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