A system of N paticles has a Hamiltonian of the form H = -h S (-1...

 

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A system of N paticles has a Hamiltonian of the form H = -h S₁ (-1 where h is a positive constant. Each particle can have an "spin" S₁ = 1,0,-1. a. In the canonical ensemble find the partition function of the system. b. Find the average energy of the system. c. Find the average number of particles in the state S = 1. d. Using the microcanonical ensemble find an expression for the number of states for which the system has energy E. e. Use your result from part d to check your answer from the canonical ensemble result in part c. (note: part e is hard so attempt only after you are done with the rest of the exam!) A system of N paticles has a Hamiltonian of the form H = -h S₁ (-1 where h is a positive constant. Each particle can have an "spin" S₁ = 1,0,-1. a. In the canonical ensemble find the partition function of the system. b. Find the average energy of the system. c. Find the average number of particles in the state S = 1. d. Using the microcanonical ensemble find an expression for the number of states for which the system has energy E. e. Use your result from part d to check your answer from the canonical ensemble result in part c. (note: part e is hard so attempt only after you are done with the rest of the exam!)

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ANSWER Lets go through each part of the problem step by step a To find the partition function of the system in the canonical ensemble we need to sum o... View the full answer