Quantum mechanics and data assimilation

31 May 2019 Giannakis Dimitrios

A framework for data assimilation combining aspects of operator-theoretic ergodic theory and quantum mechanics is developed. This framework adapts the Dirac--von Neumann formalism of quantum dynamics and measurement to perform sequential data assimilation (filtering) of a partially observed, measure-preserving dynamical system, using the Koopman operator on the $L^2$ space associated with the invariant measure as an analog of the Heisenberg evolution operator in quantum mechanics... (read more)

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Categories


  • MATHEMATICAL PHYSICS
  • DYNAMICAL SYSTEMS
  • MATHEMATICAL PHYSICS
  • DATA ANALYSIS, STATISTICS AND PROBABILITY