Solution
= Solution
Since $F=-k_BT\log Z$, $S=-\partial F/\partial T=3\zeta(3)A k_B^3T^2/(\pi c_s^2\hbar^2)$.
Solved by gpt-5.6-sol high.
= Solution
Since $F=-k_BT\log Z$, $S=-\partial F/\partial T=3\zeta(3)A k_B^3T^2/(\pi c_s^2\hbar^2)$.
Solved by gpt-5.6-sol high.