dorsal/arxiv
View SchemaContradictions of the quantum scattering theory
| Authors | V. K. Ignatovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403067 |
| URL | https://arxiv.org/abs/quant-ph/0403067 |
| Journal | There is 1-st version in Concepts of Physics, V.1 p. 51, 2004 |
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.
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"abstract": "The standard scattering theory (SST) in non relativistic quantum mechanics\n(QM) is analyzed. Self-contradictions of SST are deconstructed. A direct way to\ncalculate scattering probability without introduction of a finite volume is\ndiscussed. Substantiation of SST in textbooks with the help of wave packets is\nshown to be incomplete. A complete theory of wave packets scattering on a fixed\ncenter is presented, and its similarity to the plane wave scattering is\ndemonstrated. The neutron scattering on a monatomic gas is investigated, and\nseveral problems are pointed out. A catastrophic ambiguity of the cross section\nis revealed, and a way to resolve this ambiguity is discussed.",
"arxiv_id": "quant-ph/0403067",
"authors": [
"V. K. Ignatovich"
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"journal_ref": "There is 1-st version in Concepts of Physics, V.1 p. 51, 2004",
"title": "Contradictions of the quantum scattering theory",
"url": "https://arxiv.org/abs/quant-ph/0403067"
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