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math-phAug 26, 2020
1
citations (OpenAlex)
authors
  • Giuseppe Marmo
  • Alessandro Zampini
institutions
  • Istituto Nazionale di Fisica Nucleare, Sezione di Napoli
arXiv abstractPDF
paper

Abstract Dynamical Systems: Remarks on Symmetries and Reduction

arXiv:2008.11692 · doi:10.1142/S021988782130004X

Abstract

We review how an algebraic formulation for the dynamics of a physical system allows to describe a reduction procedure for both classical and quantum evolutions.

arXiv comment18 pages

References in corpus (9)

  • Deformation quantization of Poisson manifolds, I
  • An introduction to the tomographic picture of quantum mechanics
  • Algebras of distributions suitable for phase-space quantum mechanics. I
  • Moyal Planes are Spectral Triples
  • Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
  • Generalized Reduction Procedure: Symplectic and Poisson Formalism
  • Noncommutative differential calculus for Moyal subalgebras
  • Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces
  • Symmetries and Reduction -- part I -- Poisson and symplectic picture
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