A NOTE ON THE NON-COMMUTATIVE LAPLACE–VARADHAN INTEGRAL LEMMAReviews in Mathematical Physics
AbstractWe continue the study of the free energy of quantum lattice spin systems where to the local Hamiltonian H an arbitrary mean field term is added, a polynomial function of the arithmetic mean of some local observables X and Y that do not necessarily commute. By slightly extending a recent paper by Hiai, Mosonyi, Ohno and Petz , we prove in general that the free energy is given by a variational principle over the range of the operators X and Y. As in , the result is a non-commutative extension of the Laplace–Varadhan asymptotic formula.
Citation InformationW De Roeck, C Maes, K Netocny and L Rey-Bellet. "A NOTE ON THE NON-COMMUTATIVE LAPLACE–VARADHAN INTEGRAL LEMMA" Reviews in Mathematical Physics Vol. 22 Iss. 7 (2010)
Available at: http://works.bepress.com/luc_rey_bellet/5/