English

$\delta'$-Function Perturbations and Neumann Boundary-Conditions by Path Integration

High Energy Physics - Theory 2009-10-28 v1

Abstract

δ\delta'-function perturbations and Neumann boundary conditions are incorporated into the path integral formalism. The starting point is the consideration of the path integral representation for the one dimensional Dirac particle together with a relativistic point interaction. The non-relativistic limit yields either a usual δ\delta-function or a δ\delta'-function perturbation; making their strengths infinitely repulsive one obtains Dirichlet, respectively Neumann boundary conditions in the path integral.

Keywords

Cite

@article{arxiv.hep-th/9402110,
  title  = {$\delta'$-Function Perturbations and Neumann Boundary-Conditions by Path Integration},
  author = {Christian Grosche},
  journal= {arXiv preprint arXiv:hep-th/9402110},
  year   = {2009}
}

Comments

nine pages, plain Tex with AmSTeX macro-package

R2 v1 2026-07-22T15:49:05.479Z