Advertisement

Quantization and the Classical Limit

  • N. P. Landsman
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

The aim of quantization theory as presented in this book is to relate Poisson algebras or Poisson manifolds to C*-algebras or their pure state spaces. A slightly awkward feature of the first relationship is that usually Poisson algebras are not Banach spaces; a nonzero Poisson bracket on some Poisson subalgebra \(\widetilde{\mathfrak{A}}_{\mathbb{R}}^{0}ofC_{b}^{\infty }(P,\mathbb{R}{\text{)}}\) cannot be extended to the closure \(\mathfrak{A}_{\mathbb{R}}^{0}of\widetilde{\mathfrak{A}}_{\mathbb{R}}^{0}\) in the sup-norm.

Keywords

Riemannian Manifold Coherent State Poisson Bracket Heisenberg Group Classical Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • N. P. Landsman
    • 1
  1. 1.Korteweg-de Vries Institute for MathematicsUniversity of AmsterdamAmsterdamThe Netherlands

Personalised recommendations