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- Title
Elastic scattering and the path integral.
- Authors
Efimov, G.
- Abstract
From the stationary Schrödinger equation in the framework of nonrelativistic quantum mechanics, we derive a representation of the elastic scattering amplitude in the form of a path integral. For evaluating the path integrals, we propose a method called unitary approximation. We obtain the scattering lengths and cross sections for a rectangular potential, a singular repulsive potential, and the Yukawa potential and compare with the exact results.
- Subjects
NONRELATIVISTIC quantum mechanics; ELASTIC scattering; PATH integrals; QUANTUM theory; AMPLITUDE estimation; APPROXIMATION theory; YUKAWA interactions
- Publication
Theoretical & Mathematical Physics, 2014, Vol 179, Issue 3, p695
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-014-0172-z