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Feynman integrals for non-smooth and rapidly growing potentials

数学物理 2009-11-10 v1 math.MP

摘要

The Feynman integral for the Schroedinger propagator is constructed as a generalized function of white noise, for a linear space of potentials spanned by measures and Laplace transforms of measures, i.e., locally singular as well as rapidly growing at infinity. Remarkably, all these propagators admit a perturbation expansion.

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引用

@article{arxiv.math-ph/0408032,
  title  = {Feynman integrals for non-smooth and rapidly growing potentials},
  author = {Margarida de Faria and Maria Joao Oliveira and Ludwig Streit},
  journal= {arXiv preprint arXiv:math-ph/0408032},
  year   = {2009}
}

备注

21 pages