{ "id": "1811.04514", "version": "v1", "published": "2018-11-12T00:09:03.000Z", "updated": "2018-11-12T00:09:03.000Z", "title": "Perturbations of KMS States and Noncommutative Lp-spaces", "authors": [ "Ricardo Correa da Silva" ], "categories": [ "math-ph", "math.MP", "quant-ph" ], "abstract": "We extend the theory of perturbations of KMS states to a class of unbounded perturbations using noncommutative $L_p$-spaces. We also prove certain stability of the domain of the Modular Operator associated with a ||.||p-continuous state. This allows us to define an analytic multiple-time KMS condition and to obtain its analyticity together with some bounds to its norm.", "revisions": [ { "version": "v1", "updated": "2018-11-12T00:09:03.000Z" } ], "analyses": { "keywords": [ "kms states", "noncommutative lp-spaces", "analytic multiple-time kms condition", "modular operator", "unbounded perturbations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }