• Corpus ID: 235727768

On the convergence of a novel family of time slicing approximation operators for Feynman path integrals

@inproceedings{Trapasso2021OnTC,
  title={On the convergence of a novel family of time slicing approximation operators for Feynman path integrals},
  author={S. Ivan Trapasso},
  year={2021}
}
In this note we study the properties of a sequence of approximate propagators for the Schrödinger equation, in the spirit of Feynman’s path integrals. Precisely, we consider Hamiltonian operators arising as the Weyl quantization of a quadratic form in phase space, plus a bounded potential perturbation in the form of a pseudodifferential operator with a rough symbol. It is known that the corresponding Schrödinger propagator is a generalized metaplectic operator. This naturally motivates the… 

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