1. The problem statement, all variables and given/known data Consider an isolated system consisting of a large number N of very weakly interacting localized particles of spin 1/2. Each particle has a magnetic moment [tex]\mu[/tex] which can point either parallel or antiparallel to an applied field H. The energy E of the system is then E = -(n1-n2)[tex]\mu[/tex]H, where n1 is the number of spins aligned parallel to H, and n2 is the number of spins aligned antiparallel to H. (a) Consider the energy range between E and E+[tex]\delta[/tex]E where [tex]\delta[/tex] is very small compared to E, but is microscopically large so that [tex]\delta[/tex]E>>[tex]\mu[/tex]H What is the total number of states [tex]\Omega[/tex](E) lying in this energy range? 2. Relevant equations I really have no clue. 3. The attempt at a solution I've been sitting with my small study group talking about this for an hour, and we're no closer to a solution than when we started. We've looked at the answer and it reminds us of the classical "drunken sailor" problem. Trust me when I say we've attempted this solution from every angle we can think of.