Feynman integrals for non-smooth and rapidly growing potentials

Details Feynman integrals for non-smooth and rapidly growing potentials Feynman integrals for non-smooth and rapidly growing potentials

2004-08-20

arxiv.org/abs/math-ph/0408032v1

J. Math. Phys. 46 No 6 (2005), Art. No 063505

Physics

Mathematical Physics

21 pages

Scientific paper

10.1063/1.1904162

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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