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Communications in Mathematical Physics

, Volume 114, Issue 4, pp 577–597 | Cite as

On reproducing kernels and quantization of states

  • Anatol Odzijewicz
Article

Abstract

Quantization of a mechanical system with the phase space a Kähler manifold is studied. It is shown that the calculation of the Feynman path integral for such a system is equivalent to finding the reproducing kernel function. The proposed approach is applied to a scalar massive conformal particle interacting with an external field which is described by deformation of a Hermitian line bundle structure.

Keywords

Neural Network Manifold Statistical Physic Phase Space Complex System 
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.

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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Anatol Odzijewicz
    • 1
  1. 1.Institute of PhysicsWarsaw University Division in BiałystokLipowaPoland

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