Algorithms for Non-Relativistic Quantum Integral Equation

Authors

DOI:

https://doi.org/10.18540/jcecvl7iss3pp12699-01-19e

Keywords:

Quantum scattering. Fredholm. Neumann-Born. Computational modeling.

Abstract

In low energy scattering in Non-Relativistic Quantum Mechanics, the Schödinger equation in integral form is used. In quantum scattering theory the wave self-function is divided into two parts, one for the free wave associated with the particle incident to a scattering center, and the emerging wave that comes out after the particle collides with the scattering center. Assuming that the scattering center contains a position-dependent potential, the usual solution of the integral equation for the scattered wave is obtained via the Born approximation. Assuming that the scattering center contains a position-dependent potential, the usual solution of the integral equation for the scattered wave is obtained via the Born approximation. The methods used here are arbitrary kernels and the Neumann-Born series. The result, with the help of computational codes, shows that both techniques are good compared to the traditional method. The advantage is that they are finite solutions, which does not require Podolsky-type regularization.

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Published

2021-07-26

How to Cite

Sales, J. H. de O., & Girotto, P. H. S. (2021). Algorithms for Non-Relativistic Quantum Integral Equation. The Journal of Engineering and Exact Sciences, 7(3), 12699–01. https://doi.org/10.18540/jcecvl7iss3pp12699-01-19e

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General Articles

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