delta '-function perturbations and Neumann boundary conditions by path integration
- 7 February 1995
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (3) , L99-L105
- https://doi.org/10.1088/0305-4470/28/3/007
Abstract
Delta '-function perturbations and Neumann boundary conditions are incorporated into the path integral formalism. The starting point is consideration of the path integral representation for the one-dimensional Dirac particle together with a relativistic point interaction. The nonrelativistic limit yields either the usual delta -function or a delta '-function perturbation; making their strengths infinitely repulsive one respectively obtains either Dirichlet or Neumann boundary conditions in the path integral.Keywords
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