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arXiv · math-ph/0408032

Feynman integrals for non-smooth and rapidly growing potentials

Margarida de Faria·Maria Joao Oliveira·Ludwig Streit
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Abstract

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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Margarida de Faria, Maria Joao Oliveira, Ludwig Streit. 2004-08-20. Feynman integrals for non-smooth and rapidly growing potentials. https://doi.org/10.1063/1.1904162

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