Statistical mechanics of quantum spin systems | Zendy

Derek W. Robinson | Zendy

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Statistical mechanics of quantum spin systems

Author(s) -

Derek W. Robinson

Publication year - 1967

Publication title -

communications in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.662

H-Index - 152

eISSN - 1432-0916

pISSN - 0010-3616

DOI - 10.1007/bf01654130

Subject(s) - observable , thermodynamic limit , thermodynamic equilibrium , statistical mechanics , quantum statistical mechanics , complex system , quantum , entropy (arrow of time) , quantum mechanics , physics , mathematics , invariant (physics) , statistical physics , classical limit , social science , sociology

The thermodynamic limit of a quantum spin system is considered. It is demonstrated that for a large class of interactions and a wide range of the thermodynamic parameters the equilibrium state of the system is describable by an extremalZv-invariant state (a single phase state) over aC* algebra of local observables. It is further shown that the equilibrium state may be obtained as the solution of a variational problem involving the mean entropy. These results extend results previously obtained for classical spin systems byGallavotti, Miracle-Sole andRuelle.

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