arXiv math-ph/04080322004-08-20math-phmath.MP

Feynman integrals for non-smooth and rapidly growing potentials

Margarida de Faria, Maria Joao Oliveira, Ludwig Streit

备注：: 21 pages
发表信息：: J. Math. Phys. 46 No 6 (2005), Art. No 063505
DOI：: 10.1063/1.1904162

英文摘要：

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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