Towards the Classification of Exactly Solvable Feynman Path Integrals: $δ$-Function Perturbations and Boundary-Problems as Miscellaneous Solvable Models

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dc.contributor.areaMathematicsen_US
dc.contributor.authorGrosche, Christian
dc.contributor.departmentMathematical Physicsen_US
dc.date.accessioned2012-08-01T08:58:38Z
dc.date.available2012-08-01T08:58:38Z
dc.date.issued1993-08-17
dc.descriptionInvited talk given at the International Workshop on 'Symmetry Methods in Physics' in memory of Ya.\ A.\ Smorodinsky, 5-10 July 1993, Dubna, Russia.en_US
dc.description.abstractIn 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/6055
dc.language.isoenen_US
dc.miur.area-1en_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesarXiv:hep-th/9308081v1;
dc.relation.ispartofseriesSISSA;124/93/FM
dc.titleTowards the Classification of Exactly Solvable Feynman Path Integrals: $δ$-Function Perturbations and Boundary-Problems as Miscellaneous Solvable Modelsen_US
dc.typePreprinten_US
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