TY  - CHAP
A1  - Schmidt, Andreas U.
A2  - Benton, Charles V.
T1  - Mathematics of the quantum Zeno effect
N2  - We present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional analytic results are put into perspective and compared with more recent ones. This yields some new insights into mathematical preconditions entailing the Zeno paradox, in particular a simplified proof of Misra's and Sudarshan's theorem. We empahsise the complex-analytic structures associated to the issue of existence of the Zeno dynamics. On grounds of the assembled material, we reason about possible future mathematical developments pertaining to the Zeno paradox and its counterpart, the anti-Zeno paradox, both of which seem to be close to complete characterisations. PACS-Klassifikation: 03.65.Xp, 03.65Db, 05.30.-d, 02.30.T . See the corresponding presentation: Schmidt, Andreas U.: "Zeno Dynamics of von Neumann Algebras" and "Zeno Dynamics in Quantum Statistical Mechanics"
KW  - Quantum Zeno Effect
KW  - anti-Zeno effect
KW  - measurement
KW  - Trotter's product formula
KW  - degenerate semigroup
KW  - operator algebra
KW  - modular automorphism group
Y1  - 2004
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/4347
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30-11371
SN  - 1-59033-905-3
N1  - Aktualisierte Fassung, zuerst erschienen in: Charles V. Benton (Hrsg.): Mathematical physics research on the leading edge, Hauppauge NY : Nova Science, 2004, S. 113-143, ISBN 1-59033-905-3
SP  - 1
EP  - 32
ER  -