Quantum diffraction grating. A possible new description of nuclear elastic scattering

TL;DR

This paper discusses the mathematical challenges in representing nuclear elastic scattering data using Legendre polynomial series, highlighting its importance for accurate interpretation in quantum nuclear physics.

Contribution

It provides a clearer explanation of the issues with discontinuous functions and Legendre series in quantum nuclear scattering, addressing gaps in existing textbooks.

Findings

Highlights the importance of proper function representation in nuclear scattering analysis

Identifies common misunderstandings in quantum theory textbooks

Emphasizes the need for detailed explanations in the interpretation of scattering data

Abstract

The problem of discontinuous functions and their representations in the form of Legendre polynomial series in quantum nuclear scattering theory is presented briefly. The problem is quite old yet not adequately explained in numerous Quantum Theory textbooks and sometimes not correctly understood by physicists. This problem might be quite important in interpretation and analyses of nuclear elastic scattering data and so requires to be stated in a more detailed and clear way.