• Corpus ID: 225428174

Algebraic discretization of time-independent Hamiltonian systems using a Lie-group/algebra approach.

@article{Bertrand2020AlgebraicDO,
  title={Algebraic discretization of time-independent Hamiltonian systems using a Lie-group/algebra approach.},
  author={S Bertrand},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
  • S. Bertrand
  • Published 7 August 2020
  • Mathematics
  • arXiv: Mathematical Physics
In this paper, time-independent Hamiltonian systems are investigated via a Lie-group/algebra formalism. The (unknown) solution linked with the Hamiltonian is considered to be a Lie-group transformation of the initial data, where the group parameter acts as the time. The time-evolution generator (i.e. the Lie algebra associated to the group transformation) is constructed at an algebraic level, hence avoiding discretization of the time-derivatives for the discrete case. This formalism makes it… 

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