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The classical limit in Weyl quantization

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Publication:1256626
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DOI10.1007/BF01076257zbMath0404.35007OpenAlexW1985955192MaRDI QIDQ1256626

M. A. Antonets

Publication date: 1978

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01076257


zbMATH Keywords

SemigroupSchwartz SpaceHamiltonian Dynamical SystemWeyl Quantization


Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) General topics in partial differential equations (35A99)


Related Items (4)

Décomposition spectrale dans des algèbres munie d'un star-produit. (Spectral decomposition of an algebra equipped with a star product) ⋮ On Fréchet-Hilbert algebras ⋮ Spaces of type \(S\) as topological algebras under twisted convolution and star product ⋮ On the twisted convolution product and the Weyl transformation of tempered distributions




Cites Work

  • Classical scattering with long range forces
  • The existence of wave operators in scattering theory
  • The S-matrix in classical mechanics
  • Wave operators for classical particle scattering
  • Decay and scattering of solutions of a nonlinear relativistic wave equation
  • On the Asymptotic Behavior of Certain Dynamical Systems




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