Communications in Mathematical Physics

, Volume 164, Issue 3, pp 473–488 | Cite as

Classical intertwiner space and quantization

Article

Abstract

Given two symplectic realizations, a symplectic manifold called the classical intertwiner space is introduced as a classical analogue of an intertwiner space of representations of an associative algebra. We describe explicitly how a quantum data on realizations induces a quantum data on their classical intertwiner space.

Keywords

Neural Network Manifold Statistical Physic Complex System Nonlinear Dynamics 

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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Ping Xu
    • 1
    • 2
  1. 1.Mathematical Sciences Research InstituteBerkeleyUSA
  2. 2.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA

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