ISBN 9783843934848

978-3-8439-3484-8, Reihe Mathematik

Patrick Leonardo Capraro
Feynman path integrals in configuration space, momentum space and phase space for perturbative and polynomial potentials

166 Seiten, Dissertation Technische Universität Kaiserslautern (2017), Softcover, A5

Zusammenfassung / Abstract

We use methods of white noise analysis to construct Feynman path integrals as Kontratiev distributions and Hida distributions, respectively, and find solutions to the Schrödinger equation. We consider polynomial Doss class potentials which are perturbed by a new class of potentials that is constructed similarly to the idea of Albeverio and Hoegh-Krohn. Furthermore we consider Albeverio Hoegh-Krohn potentials depending on both space and momentum. We show that the constructed integrands are indeed solutions to the Schrödinger equation.