Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics

@article{Krivoruchenko2007WeylsSO,
  title={Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics},
  author={M. Krivoruchenko and A. Faessler},
  journal={Journal of Mathematical Physics},
  year={2007},
  volume={48},
  pages={052107-052107}
}
  • M. Krivoruchenko, A. Faessler
  • Published 2007
  • Physics, Mathematics
  • Journal of Mathematical Physics
  • The knowledge of quantum phase flow induced under Weyl’s association rule by the evolution of Heisenberg operators of canonical coordinates and momenta allows to find the evolution of symbols of generic Heisenberg operators. The quantum phase flow curves obey the quantum Hamilton equations and play the role of characteristics. At any fixed level of accuracy of semiclassical expansion, quantum characteristics can be constructed by solving a coupled system of first-order ordinary differential… CONTINUE READING
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