The KMS condition and passive states

Classical KMS Condition and Tomita-Takesaki Theory

Relationships between the classical KMS condition and the time evolution for classical systems are discussed.

Kms States and the Chemical Potential for Disordered Systems

We extend the theory of the chemical potential associated to a compact separable gauge group to the case of disordered quantum systems. This is done in the natural framework of operator algebras. Among the other results, we show that the chemical potential does not depend on the disorder. The situation of the n–torus is treated in some detail. Indeed, provided that the zero– point is fixed inde...

Kms States on the Square of White Noise Algebra

It was shown in [AFS00] that there are only three types of irreducible unitary representations θ of sl2. Using the Schurmann triple one can associate with each θ a number of representations of the square of white noise (SWN) algebra A. However, in analogy with the Boson, Fermion and q-deformed case, we expect that some interesting non irreducible representations of sl2 may result in GNS represe...

The Relation between KMS-States for Different Temperatures

Abstract. Given a thermal field theory for a certain temperature, we present a method to construct the theory at any finite positive temperature provided the number of local degrees of freedom is restricted in a physically sensible manner. Our work is based on a construction invented by Buchholz and Junglas [BJu 89]. Starting from the vacuum representation, they established the existence of the...

Perturbation Theory of W*-Dynamics, Liouvilleans and KMS-States