Towards the Classification of Exactly Solvable Feynman Path Integrals: $δ$-Function Perturbations and Boundary-Problems as Miscellaneous Solvable Models
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Date
1993-08-17
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SISSA
Abstract
In this contribution I present further results on steps towards a Table of Feynman Path Integrals. Whereas the usual path integral solutions of the harmonic oscillator (Gaussian path integrals), of the radial harmonic oscillator (Besselian path integrals), and the (modified) P\"oschl-Teller potential(s) (Legendrian path integrals) are well known and can be performed explicitly by exploiting the convolution properties of the various types, a perturbative method opens other possibilities for calculating path integrals. Here I want to demonstrate the perturbation expansion method for point interactions and boundary problems in path integrals.
Description
Invited talk given at the International Workshop on 'Symmetry Methods in Physics' in memory of Ya.\ A.\ Smorodinsky, 5-10 July 1993, Dubna, Russia.