Consider a system of N non - interacting particles. Each particle is fixed in position and can sit in two possible states which, for convenience, we will cal "spin up" |t) and "spin down" |↓). We take the energy of these states to be E=0, E_1 = \epsi the system has N_↑ particles with spin up and N_↓ = N - N_t particles with spin down. Find the final state of the system if E_< < E_↑

Consider a system of N non - interacting particles. Each particle is fixed in position and can sit in two possible states which, for convenience, we will cal "spin up" |t) and "spin down" |↓). We take the energy of these states to be E=0, E_1 = \epsi the system has N_↑ particles with spin up and N_↓ = N - N_t particles with spin down. Find the final state of the system if E_< < E_↑

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