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This article is cited in 5 scientific papers (total in 5 papers)
Elastic scattering and the path integral
G. V. Efimov Joint Institute for Nuclear Research, Dubna, Moscow Oblast,
Russia
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.
Keywords:
quantum mechanics, elastic scattering, path integral.
Received: 24.05.2013 Revised: 13.01.2014
Citation:
G. V. Efimov, “Elastic scattering and the path integral”, TMF, 179:3 (2014), 367–386; Theoret. and Math. Phys., 179:3 (2014), 695–711
Linking options:
https://www.mathnet.ru/eng/tmf8557https://doi.org/10.4213/tmf8557 https://www.mathnet.ru/eng/tmf/v179/i3/p367
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