English

Path integrals of systems on the half-line

Quantum Physics 2018-09-14 v1 High Energy Physics - Theory

Abstract

It is wellknown that the Feynman kernel for the free particle on the half-line can be expressed as a sum over classical paths if we take the contribution from the reflected path into account. The minus sign for the reflected path needs to be generalized depending on the parameter of the potential if we add a potential proportional to 1/x21/x^{2}.

Keywords

Cite

@article{arxiv.1809.04856,
  title  = {Path integrals of systems on the half-line},
  author = {Seiji Sakoda},
  journal= {arXiv preprint arXiv:1809.04856},
  year   = {2018}
}
R2 v1 2026-06-23T04:05:06.395Z