Implementability of Liouville Evolution, Koopman and Banach-Lamperti Theorems in Classical and Quantum Dynamics

DOI10.1023/A:1021853716478zbMath1016.81019arXivmath-ph/0404029OpenAlexW2067152553MaRDI QIDQ4803669

Ioannis E. Antoniou, Wladyslaw Adam Majewski, Zdzislaw Suchanecki

Publication date: 27 April 2003

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0404029

zbMATH Keywords

Jordan morphismsisometries on noncommutative \(L^p\) spacessemigroups of evolution operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Quantum stochastic calculus (81S25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Noncommutative function spaces (46L52)

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A transfer operator approach to relativistic quantum wavefunction ^* ⋮ Koopman's approach to dissipation

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