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Solving Quantum Dynamics with a Lie-Algebra Decoupling Method
Published 2025-01-01“…As background, we include an overview of Lie groups and Lie algebras aimed at a general-physicist audience. We then prove the Lie-algebra decoupling theorem and apply it to both closed and open dynamics. …”
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A Linear Algebraic Framework for Dynamic Scheduling Over Memory-Equipped Quantum Networks
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Markovian extensions and reductions of a family of σ-algebras
Published 1984-01-01Subjects: “…Markovian family of σ-algebras; equal predictability; stochastic dynamic system; extension and reduction.…”
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Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra
Published 2018-01-01“…The QCD light-front Hamiltonian equation HLFΨ=M2Ψ derived from quantization at fixed LF time τ=t + z/c provides a causal, frame-independent method for computing hadron spectroscopy as well as dynamical observables such as structure functions, transverse momentum distributions, and distribution amplitudes. …”
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Implementation of finite state logic machines via the dynamics of atomic systems
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On Algebraic Approach in Quadratic Systems
Published 2011-01-01“…We resume some connections between the dynamics of the quadratic systems and (algebraic) properties of the corresponding algebras. …”
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Gravitational Algebras and Applications to Nonequilibrium Physics
Published 2025-01-01“…Additionally, we provide a brief overview of the theory of nonequilibrium dynamical systems in finite dimensions and discuss its generalization to gravitational algebras. …”
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Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
Published 2010-01-01“…We give a review of infinite-dimensional Lie groups and algebras and show some applications and examples in mathematical physics. …”
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Asymptotic -Algebras from -Actions on Higher Rank Graphs
Published 2013-01-01“…Then we show that the corresponding asymptotic Ruelle algebra is simple if the graph is primitive with the aperiodic condition.…”
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An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems
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Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras
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On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
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A New Perspective to Algebraic Characterization on Controllability of Multiagent Systems
Published 2020-01-01“…The controllability of leader-follower networked multiagent systems under the framework of generic linear dynamics is firstly discussed via λ-matrix. Some new algebra-theoretic necessary and/or sufficient conditions of the controllability for generic linear multiagent systems are established. …”
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Super algebra and Harmonic Oscillator in Anti de Sitter space
Published 2019-04-01“…We have discussed the corresponding algebra for the N=2 Supersymmetry. The energy spectrum of the harmonic oscillator is similar to the flat space but the constant terms of it are different, This constant terms depends to the geometrical parameter of the background. …”
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Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors
Published 2024-12-01“…Parameter identification in dynamical systems is a well-known problem with many applications in control design, system monitoring, and fault detection. …”
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