An algebraic approach to Koopman classical mechanics

@article{Morgan2020AnAA,
  title={An algebraic approach to Koopman classical mechanics},
  author={Peter J Morgan},
  journal={Annals of Physics},
  year={2020},
  volume={414},
  pages={168090}
}
  • Peter J Morgan
  • Published 2020
  • Physics
  • Annals of Physics
  • Abstract Classical mechanics is presented here in a unary operator form, constructed using the binary multiplication and Poisson bracket operations that are given in a phase space formalism, then a Gibbs equilibrium state over this unary operator algebra is introduced, which allows the construction of a Hilbert space as a representation space of a Heisenberg algebra, giving a noncommutative operator algebraic variant of the Koopman–von Neumann approach. In this form, the measurement theory for… CONTINUE READING

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