English

Elastic scattering and path integral

Mathematical Physics 2015-06-16 v1 math.MP Quantum Physics

Abstract

Representation of the elastic scattering amplitude in the form of the path integral is obtained using the stationary Schroedinger equation. A few methods of evaluation of path integrals for large coupling constants are formulated. The methods are based on the uncertainty correlation. The scattering lengths and cross sections are calculated for the right angled and singular potentials and the Yukawa potential. The comparison with exact results is made.

Keywords

Cite

@article{arxiv.1305.5658,
  title  = {Elastic scattering and path integral},
  author = {G. V. Efimov},
  journal= {arXiv preprint arXiv:1305.5658},
  year   = {2015}
}

Comments

33 pages, 13 figures

R2 v1 2026-06-22T00:21:53.415Z