Dynamical evolution in non-commutative discrete phase space and the derivation of classical kinetic equations

@inproceedings{Dimakis2000DynamicalEI,
  title={Dynamical evolution in non-commutative discrete phase space and the derivation of classical kinetic equations},
  author={Aristophanes Dimakis and Constantinos Tzanakis},
  year={2000}
}
  • Aristophanes Dimakis, Constantinos Tzanakis
  • Published 2000
  • Physics, Mathematics
  • By considering a lattice model of extended phase space, and using techniques of non-commutative differential geometry, we are led to: (a) the concept of vector fields as generators of motion and transition probability distributions on the lattice; (b) the emergence of the time direction on the basis of the encoding of probabilities in the lattice structure; (c) the general prescription for the evolution of the observables in analogy with classical dynamics. We show that, in the limit of a… CONTINUE READING

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