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Using the Evolution Operator to Classify Evolution Algebras [PDF]

open access: yesMathematical and Computational Applications, 2021
Evolution algebras are currently widely studied due to their importance not only “per se” but also for their many applications to different scientific disciplines, such as Physics or Engineering, for instance.
Desamparados Fernández-Ternero   +2 more
doaj   +3 more sources

Factorizing the time evolution operator [PDF]

open access: yesPhysica Scripta, 2006
There is a widespread belief in the quantum physical community, and in textbooks used to teach Quantum Mechanics, that it is a difficult task to apply the time evolution operator Exp{-itH/h} on an initial wave function.
Arévalo Aguilar L M   +17 more
core   +2 more sources

Integral Characterizations for Uniform Stability with Growth Rates in Banach Spaces

open access: yesAxioms, 2021
The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution ...
Rovana Boruga (Toma)   +2 more
doaj   +1 more source

EKO: evolution kernel operators

open access: yesThe European Physical Journal C, 2022
AbstractWe present a new QCD evolution library for unpolarized parton distribution functions: . The program solves DGLAP equations up to next-to-next-to-leading order. The unique feature of is the computation of solution operators, which are independent of the boundary condition, can be stored and quickly applied to evolve several initial PDFs.
Alessandro Candido   +2 more
openaire   +5 more sources

Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point

open access: yesMathematics, 2023
We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of ...
Elena Filichkina, Elena Yarovaya
doaj   +1 more source

Review of the Latest Progress in Controllability of Stochastic Linear Systems and Stochastic GE-Evolution Operator

open access: yesMathematics, 2021
According to the spatial dimension, equation type, and time sequence, the latest progress in controllability of stochastic linear systems and some unsolved problems are introduced. Firstly, the exact controllability of stochastic linear systems in finite
Zhaoqiang Ge
doaj   +1 more source

Polynomial stability of evolution operators in Banach spaces [PDF]

open access: yesOpuscula Mathematica, 2011
The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially.
Megan Mihail   +2 more
doaj   +1 more source

Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth [PDF]

open access: yesQuantum, 2023
Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a process to unfold by using a distance between quantum states and identifying the speed of evolution or an upper bound to it.
Niklas Hörnedal   +3 more
doaj   +1 more source

Root Operators and “Evolution” Equations [PDF]

open access: yesMathematics, 2015
Root-operator factorization à la Dirac provides an effective tool to deal with equations, which are not of evolution type, or are ruled by fractional differential operators, thus eventually yielding evolution-like equations although for a multicomponent vector.
Dattoli, Giuseppe, Torre, Amalia
openaire   +4 more sources

Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains

open access: yesMathematics, 2021
In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity.
Toshiaki Hishida
doaj   +1 more source

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