Consider One-dimensional Ising Model with N spins and periodic boundary condition, i.e., sN+1 = S1 (no external field).
a) Compute the partition exactly using the transfer matrix approach (justify steps).
b) Compute the free energy.
c) Compute the magnetization.
d) Compute the average energy.
e) Compute the specific heat.
This solution calculates the partition, free energy, magnetization, energy, and heat for a one-dimensional ising model.