Applications of Topological *-Algebras of Unbounded Operators
F. Bagarello
Abstract
In this paper we discuss some physical applications of topological *-algebras of unbounded operators. Our first example is a simple system of free bosons. Then we analyze different models which are related to this one. We also discuss the time evolution of two interacting models of matter and bosons. We show that for all these systems it is possible to build up a common framework where the thermodynamical limit of the algebraic dynamics can be conveniently studied and obtained.
Create a lesson
Related papers
The generator problem for C*-algebras with comparison
Ben Bouwen, Jorge Castillejos, Jakub Curda
Actions of Fell bundles, II: tensor products and Fourier-Stieltjes algebras
Erik Bédos, Roberto Conti
A note on purely infinite extensions
Ping Wong Ng, Cangyuan Wang
Wiener's lemma for quasicrystals: hull-uniform decay of covariant kernels on Delone sets
Diego Jaure
Homotopies of constant Cuntz classes in pure C*-algebras
Chrisil Ouseph, Andrew S. Toms
Mean dimension and radius of comparison
George A. Elliott, Zhuang Niu