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Abstract: 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 emphasise the complexanalytic structures associated to the issue of existence of the Zeno dynamics. (Update)
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BibTeX entry: (Update)
@misc{ schmidt-mathematics,
author = "Andreas U. Schmidt",
title = "Mathematics of the Quantum Zeno Effect",
url = "citeseer.ist.psu.edu/742076.html" }
Citations (may not include all citations):1749 An Introduction to Probability Theory and its Applications (context) - Feller - 1971
584 Perturbation Theory for Linear Operators (context) - Kato - 1976
191 Operator Algebras and Quantum Statistical Mechanics (context) - Bratteli, Robinson
107 Local Quantum Physics (context) - Haag - 1992
59 Methods of Modern Mathematical Physics I: Functional Analysi.. (context) - Reed, Simon - 1972
52 Fundamentals of the Theory of Operator Algebras (context) - Kadison, Ringrose
31 McGraw-Hill Book Company (context) - Rudin, Analysis et al. - 1974
25 Foundations of modern probability (context) - Kallenberg - 2002
14 American Mathematical Society (context) - Hille, Phillips et al. - 1965
12 The Zeno's paradox in quantum theory (context) - Misra, Sudarshan - 1977
9 Strongly coupled quantum and classical systems and Zeno's ef.. - Blanchard, Jadczyk - 1993
8 Geometry of Quantum Evolution (context) - Anandan, Aharanov - 1990
8 Return to equilibrium (context) - Robinson - 1973
5 Note on product formulas for operator semigroups (context) - Chernoff - 1968
3 Geometry of the Hilbert space and the quantum Zeno effect (context) - Pati, Lawande - 1998
3 Infinitely frequent measurements and quantum Zeno effect (context) - Hradil, Nakazato et al. - 1998
3 Zeno dynamics yields ordinary constraints (context) - Facchi, Pascazio et al. - 2001
3 Quantum Zeno dynamics (context) - Facchi, Gorini et al. - 2000
3 Temporal behavior of quantum mechanical systems (context) - Nakazato, Namiki et al. - 1996
2 A theorem on the rate of regeneration in decay processes (context) - Nishioka - 1988
2 Seven Decades of Heresy in Quantum Physics (context) - Wick, Boundary - 1995
2 A remark on the rate of regeneration in decay processes (context) - Misra, Sinha - 1977
2 One more theorem on the short-time regeneration rate (context) - Exner - 1989
2 Addison-- Wesley Publishing Company (context) - Bremermann, Complex et al. - 1965
2 A Zeno Story (context) - Gustafson
2 Reflections on the quantum Zeno paradox (context) - Home, Whitaker - 1986
2 From the Quantum Zeno to the Inverse Quantum Zeno Effect (context) - Facchi, Nakazato et al. - 2001
2 and noninvasive measurability at the macroscopic level (context) - Effect, local et al. - 1998
1 A product formula and its application to the Schrdinger equa.. (context) - Ichinose - 1980
1 Dynamical Quantum Zeno Effect (context) - Pascazio, Namiki - 1994
1 New derivation of the geometric phase (context) - Pati - 1995
1 Spontaneous emission and lifetime modification caused by an .. (context) - Facchi, Pascazio - 2000
1 Quantum Zeno effects with (context) - effects, pulsed et al.
1 quant-ph - phenomena, continuous et al. - 2001
1 Topics in functional analysis (context) - formula, arbitrary et al. - 1978
1 the Theory of Fourier Hyperfunctions and its Applications to.. (context) - Kawai - 1970
1 Continuous Time-Dependent Measurements: Quantum Anti-Zeno Pa.. (context) - Balachandran, Roy
1 Manipulating decay rates by entanglement and the Zeno effect (context) - Piza, Nemes - 2001
1 Theory and experiment in the foundations of quantum theory (context) - Whitaker - 2000
1 Product formula related to quantum Zeno dynamics (context) - Exner, Ichinose
1 Counterexample to the Trotter product formula for projection.. (context) - Matolcsi, Shvidkoy - 2001
1 The paradox of axions surviving primordial magnetic fields (context) - Ahonen, Enqvist et al. - 1996
1 Problem Corner of the Bulletin Board for Evolution Equations.. (context) - Arendt, Ulm et al. - 1997
1 Quantum description of classical apparatus: Zeno effect and .. (context) - Gurvitz - 2003
1 adiabaticity and dynamical superselection rules (context) - Facchi, effect
1 Quantum Zeno Effect and the Detection of Gravitomagnetism (context) - Camacho - 2001
1 variational methods and Liapunov's theorem (context) - Arendt, Bu et al. - 2001
1 semigroups on Banach spaces (context) - of - 2003
1 Observation of the Quantum Zeno and Anti-Zeno Effects in an .. (context) - Fischer, Gutirrez-Medina et al. - 2001
1 Quantum Zeno tomography (context) - Facchi, Hradil et al. - 2002
1 the relation of closed forms and Trotter's product formula (context) - Matolcsi - 2003
1 and Asymptotic Expansions (context) - Schmidt, Hyperfunctions et al. - 2002
1 Berry phase from a quantum Zeno effect (context) - Facchi, Klein et al. - 2000
1 to appear in Archiv der Mathematik (context) - formula, projections
1 An inequality for characteristic functions and its applicati.. (context) - Luo, Wang et al. - 2002
1 Necessary and sufficient conditions for the quantum Zeno and.. (context) - Atmanspacher, Ehm et al. - 2003
1 American Mathematical Society (context) - Formulas, Semigroups et al. - 1974
1 Purification through Zeno-Like Measurements (context) - Nakazato, Takazawa et al. - 2003
1 Quantum Zeno and anti-Zeno effects by indirect measurement w.. (context) - Koshino, Shimizu - 2003
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