Feynman formulas and path integrals for some evolution semigroups related to τ-quantization

@article{Bttcher2011FeynmanFA,
  title={Feynman formulas and path integrals for some evolution semigroups related to τ-quantization},
  author={Bj{\"o}rn B{\"o}ttcher and Ya. A. Butko and Ren{\'e} L. Schilling and O. G. Smolyanov},
  journal={Russian Journal of Mathematical Physics},
  year={2011},
  volume={18},
  pages={387-399}
}
This note is devoted to Feynman formulas (i.e., representations of semigroups by limits of n-fold iterated integrals as n → ∞) and their connections with phase space Feynman path integrals. Some pseudodifferential operators corresponding to different types of quantization of a quadratic Hamiltonian function are considered. Lagrangian and Hamiltonian Feynman formulas for semigroups generated by these operators are obtained. Further, a construction of Hamiltonian (phase space) Feynman path… CONTINUE READING