Derek W. Robinson

Statistical mechanics of quantum spin systems. III

AbstractIn the algebraic formulation the thermodynamic pressure, or free energy, of a spin system is a convex continuous functionP defined on a Banach space

Return to Equilibrium

\mathfrak{B}

Effect of induced intrascrotal hyperthermia on testicular function in man.

of translationally invariant interactions. We prove that each tangent functional to the graph ofP defines a set of translationally invariant thermodynamic expectation values. More precisely each tangent functional defines a translationally invariant state over a suitably chosen algebra

Asymptotically abelian systems

\mathfrak{A}

Positivity and monotonicity properties ofC0-semigroups. II

of observables, i. e., an equilibrium state. Properties of the set of equilibrium states are analysed and it is shown that they form a dense set in the set of all invariant states over