6533b825fe1ef96bd12828ed
RESEARCH PRODUCT
Implementability of Liouville Evolution, Koopman and Banach-Lamperti Theorems in Classical and Quantum Dynamics
Z. SuchaneckiI. AntoniouWladyslaw A. Majewskisubject
Statistics and ProbabilityPure mathematics82C10; 46L55Dynamical systems theory82C1046L55Quantum dynamicsComplex systemFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Extension (predicate logic)MorphismLp spaceFocus (optics)QuantumMathematical PhysicsMathematicsdescription
We extend the concept of implementability of semigroups of evolution operators associated with dynamical systems to quantum case. We show that such an extension can be properly formulated in terms of Jordan morphisms and isometries on non-commutative Lp spaces. We focus our attention on a non-commutative analog of the Banach-Lamperti theorem.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-12-01 | Open Systems & Information Dynamics |