Results 11 to 20 of about 8,486 (147)
Perturbed nonlinear models from Noncommutativity [PDF]
, 2006 By means of the Ehrenfest's Theorem inside the context of a noncommutative Quantum Mechanics it is obtained the Newton's Second Law in noncommutative space.
Acatrinei +51 more
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Noncommutative Sprott systems and their jerk dynamics [PDF]
Modern Physics Letters A, 2018 In this paper, we provide the noncommutative Sprott models. We demonstrate, that effectively, each of them is described by a system of three complex, ordinary and nonlinear differential equations. Apart from that, we find for such modified models the corresponding (noncommutative) jerk dynamics as well as we study numerically as an example, the ...
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Ergodic theorems for noncommutative dynamical systems
Inventiones Mathematicae, 1978 Recently, E.C. Lance extended the pointwise ergodic theorem to actions of the group of integers on von Neumann algebras. Our purpose is to extend other pointwise ergodic theorems to von Neumann algebra context: the Dunford-Schwartz-Zygmund pointwise ergodic theorem, the pointwise ergodic theorem for connected amenable locally compact groups, the Wiener'
Conze, J.P., Dang-Ngoc, N.
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Minimal areas from q-deformed oscillator algebras [PDF]
, 2010 We demonstrate that dynamical noncommutative space-time will give rise to deformed oscillator algebras. In turn, starting from some q-deformations of these algebras in a two dimensional space for which the entire deformed Fock space can be constructed ...
Bagchi, Bijan +2 more
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Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras [PDF]
, 2009 We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie ...
Zuevsky, Alexander
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Haar Systems, KMS States on von Neumann Algebras and $$C^*$$-Algebras on Dynamically Defined Groupoids and Noncommutative Integration [PDF]
, 2021 We analyse certain Haar systems associated to groupoids obtained by certain natural equivalence relations of dynamical nature on sets like $\{1,2,...,d\}^\mathbb{Z}$, $\{1,2,...,d\}^\mathbb{N}$, $S^1\times S^1$, or $(S^1)^\mathbb{N}$, where $S^1$ is the unitary circle.
de Castro, Gilles G. +2 more
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Noncommutative computer algebra in the control of singularly perturbed dynamical systems
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003 Most algebraic calculations involve block matrices and so are highly noncommutative. Here we investigate the usefulness of noncommutative computer algebra in a particular area of control theory - singularly perturbed dynamic systems where working with the noncommutative polynomials involved is especially tedious.
Helton, J. W. +2 more
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Spectral noncommutative geometry and quantization: a simple example [PDF]
, 1999 We explore the relation between noncommutative geometry, in the spectral triple formulation, and quantum mechanics. To this aim, we consider a dynamical theory of a noncommutative geometry defined by a spectral triple, and study its quantization.
A. Connes +28 more
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Generators of Noncommutative Dynamics [PDF]
, 2002 For a fixed C*-algebra A, we consider all noncommutative dynamical systems that can be generated by A. More precisely, an A-dynamical system is a triple (i,B,\alpha) where $\alpha$ is a *-endomorphism of a C*-algebra B, and i: A --> B is the inclusion of
Arveson, William
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Automorphisms of free products and their application to multivariable dynamics [PDF]
, 2015 We examine the completely isometric automorphisms of a free product of noncommutative disc algebras. It will be established that such an automorphism is given simply by a completely isometric automorphism of each component of the free product and a ...
Ramsey, Christopher
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