TY - JOUR A1 - Seeberg, Otto T1 - On the validity of the master equation for finite closed systems T2 - Zeitschrift für Naturforschung, A N2 - Two equations for the macroscopic part W of the statistical operator are considered: 1. the master equation W = — MW, t 2. the exact equation W = — J K(t — r) W (r) dr. It follows from the physical equivalence of the solutions together with a stability assumption and the assumption that there is a time τ* after which also the derivatives of the solutions are equivalent, that τ* is the life-time of the kernel K and that Conversely, the equivalence of the solutions follows from assumptions on the life-time of the kernel K together with a stability assumption and a smoothness assumption on the initial statistical operator W(0). Y1 - 2014 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/73537 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-735376 SN - 1865-7109 VL - 33 IS - 6 SP - 627 EP - 637 PB - Verlag der Zeitschrift für Naturforschung CY - Tübingen ER -