{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T06:26:51Z","timestamp":1648535211775},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2011,6]]},"abstract":"<jats:p> The Hamiltonians of the considered bi-partite systems are of the form [Formula: see text] Subindex S corresponds to the observed system and R to the reservoir (the enviroment of S). Two classes of systems are distinguished: the discrete-continuous (D-C) and the continuous-continuous (C-C) models. In both cases resevoir operators M<jats:sub>R<\/jats:sub> and H<jats:sub>R<\/jats:sub> are of continuous spectrum type. In D-C models the operators H<jats:sub>S<\/jats:sub> and Q<jats:sub>S<\/jats:sub> possess discrete spectra. In C-C models, the operators H<jats:sub>S<\/jats:sub> and Q<jats:sub>S<\/jats:sub> are of continuous spectrum type. In each case of our examples the semigroup property for the reduced dynamics of system S is obtained under particular circumstances, depending on the diagonal of the density matrix of the reference state for R. In D-C models, due to discrete spectrum of Q<jats:sub>S<\/jats:sub>, the semigroup property of the reduced dynamics of the reservoir R is shown to be impossible, unless the coupling to S is trivial. <\/jats:p>","DOI":"10.1142\/s1230161211000091","type":"journal-article","created":{"date-parts":[[2011,6,22]],"date-time":"2011-06-22T07:49:21Z","timestamp":1308728961000},"page":"143-155","source":"Crossref","is-referenced-by-count":0,"title":["Two Examples of Quantum Dynamical Semigroups"],"prefix":"10.1142","volume":"18","author":[{"given":"Ma\u0142gorzata","family":"Bodzioch","sequence":"first","affiliation":[{"name":"Faculty of Applied Physics and Mathematics, Gda\u0144sk University of Technology, 80\u2013233 Gda\u0144sk, Poland"}]},{"given":"Joachim","family":"Domsta","sequence":"additional","affiliation":[{"name":"Faculty of Applied Physics and Mathematics, Gda\u0144sk University of Technology, 80\u2013233 Gda\u0144sk, Poland"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf2","series-title":"Lecture Notes in Physics","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-46122-1_10","volume-title":"Dynamics and Dissipation","volume":"597","author":"Alicki R.","year":"2002"},{"key":"rf5","volume-title":"Quantum Dynamical Systems","author":"Alicki R.","year":"2000"},{"key":"rf6","volume-title":"Quantum Dynamical Semigroups and Applications","author":"Alicki R.","year":"1987"},{"key":"rf8","volume-title":"The Theory of Open Quantum Systems","author":"Breuer H. P.","year":"2002"},{"key":"rf9","volume-title":"An introduction to Probability Theory and Applications","volume":"1","author":"Feller W.","year":"1972"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1063\/1.522979"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-44998-1"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01608499"},{"key":"rf15","volume-title":"Functional Analysis","author":"Rudin W.","year":"1991"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-11791-0"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1230161211000091","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T09:39:31Z","timestamp":1565170771000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1230161211000091"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6]]},"references-count":10,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2011,6]]}},"alternative-id":["10.1142\/S1230161211000091"],"URL":"https:\/\/doi.org\/10.1142\/s1230161211000091","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"value":"1230-1612","type":"print"},{"value":"1793-7191","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,6]]}}}