On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems

Observables at infinity and states with short range correlations in statistical mechanics

Oscar E. Lanford, David Ruelle · Communications in Mathematical Physics · 1969 · 616 citations

Natural Sciences, Mathematics, Physics +14

Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings

Robert T. Powers · Annals of Mathematics · 1967 · 308 citations

Natural Sciences, Mathematics, Algebra +9

Gibbs states of a one dimensional quantum lattice

Huzihiro Araki · Communications in Mathematical Physics · 1969 · 257 citations

Natural Sciences, Physics, Condensed Matter Physics +13

Statistical mechanics of quantum spin systems. III

Oscar E. Lanford, Derek W. Robinson · Communications in Mathematical Physics · 1968 · 174 citations

Natural Sciences, Physics, Condensed Matter Physics +13

Relative Hamiltonian for Faithful Normal States of a von Neumann Algebra

Huzihiro Araki · Publications of the Research Institute for Mathematical Sciences · 1973 · 168 citations · Full text

Natural Sciences, Physics, Quantum Mechanics +9