Evolution semigroups and Hamiltonian flows
type: Item
instance of: scholarly article
title: Evolution semigroups and Hamiltonian flows
zbMATH Open document ID: 0606.70016
DOI: 10.1016/0022-247X(85)90028-9
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: A certain class of Hamiltonian flows is investigated by means of evolution semigroups. To this end, the operator calculus introduced by \textit{P. J. Feinsilver} [Special functions, probability semigroups and Hamiltonian flows (1978; Zbl 0394.33002)] is generalized to Hamiltonians of the form \(H(x,p)=T(p)+a(x)\cdot p+V(x)\). This also allows the use of the theory of canonical transformations.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 70H15
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 3980565
zbMATH Keywords: Hamiltonian flows
zbMATH Keywords: evolution semigroups
author: Henryk Gzyl
reviewed by: Michael Baake
MaRDI profile type: Publication
cites work: Q4174811
cites work: Q4750503
cites work: Markov Processes and Related Problems of Analysis
cites work: Special functions, probability semigroups, and Hamiltonian flows
cites work: Q5569065
cites work: Q5602878
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cites work: On the Product of Semi-Groups of Operators
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description: scientific article; zbMATH DE number 3980565