Quasi-Lie schemes for PDEs
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DOI: 10.1142/s0219887819500968
Abstract: The theory of quasi-Lie systems, i.e. systems of first-order ordinary differential equations that can be related via a generalized flow to Lie systems, is extended to systems of partial differential equations (PDEs) and its applications… read more here.
Keywords: quasi lie; differential equations; lie systems; schemes pdes ... See more keywords
On automorphisms of graded quasi-lie algebras
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DOI: 10.2298/fil2009141l
Abstract: Let Z be the ring of integers and let K(Z,2n) denote the Eilenberg-MacLane space of type (Z,2n) for n ? 1. In this article, we prove that the graded group Am := Aut(??2mn+1(?K(Z,2n))=torsions) of automorphisms… read more here.
Keywords: quasi lie; graded quasi; lie algebras; automorphisms graded ... See more keywords
Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths
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DOI: 10.3390/sym10100518
Abstract: Many open quantum systems encountered in both natural and synthetic situations are embedded in classical-like baths. Often, the bath degrees of freedom may be represented in terms of canonically conjugate coordinates, but in some cases… read more here.
Keywords: quantum; quasi lie; lie brackets; time translation ... See more keywords