Feynman integrals for non-smooth and rapidly growing potentials

Faria, Margarida de; Oliveira, Maria João; Streit, Ludwig

http://hdl.handle.net/10400.2/1679

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Authors

Faria, Margarida de

Oliveira, Maria João

Streit, Ludwig

Abstract(s)

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

Keywords

Feynman integrals White noise analysis

URI

http://hdl.handle.net/10400.2/1679

Citation

Faria, Margarida de; Oliveira Maria João; Streit, Ludwig - Feynman integrals for non-smooth and rapidly growing potentials. "Journal of Mathematical Physics" [Em linha]. ISSN 0022-2488. Vol. 46, nº 6 (May 2005), p. 1-14