Contradictions of the quantum scattering theory
Abstract
The standard scattering theory (SST) in non relativistic quantum mechanics (QM) is analyzed. Self-contradictions of SST are deconstructed. A direct way to calculate scattering probability without introduction of a finite volume is discussed. Substantiation of SST in textbooks with the help of wave packets is shown to be incomplete. A complete theory of wave packets scattering on a fixed center is presented, and its similarity to the plane wave scattering is demonstrated. The neutron scattering on a monatomic gas is investigated, and several problems are pointed out. A catastrophic ambiguity of the cross section is revealed, and a way to resolve this ambiguity is discussed.
Cite
@article{arxiv.quant-ph/0403067,
title = {Contradictions of the quantum scattering theory},
author = {V. K. Ignatovich},
journal= {arXiv preprint arXiv:quant-ph/0403067},
year = {2007}
}
Comments
33 pages, 2 figures, It is a version submitted to Phys.Rev.A and rejected. Small paragraph and the discussion with referees is added