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A tutorial on quantum scattering theory and coupled-channel calculations of bimolecular collisions — arXiv:2610.20882

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.20882
License (as archived): CC0-1.0
Archived: 2026-10-16T10:44:47.083Z
SHA-256 of the archived text: 244c8ba492f46cbc8a1b4805ac9a52ce7dd4361c91da70de043d8dd7f07d64d0
Stable URL of this page: https://metraipolis.com/documento/dc_7204bfaf9380

How to cite

A tutorial on quantum scattering theory and coupled-channel calculations of bimolecular collisions — arXiv:2610.20882 — arXiv (en), https://arxiv.org/abs/2610.20882 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_7204bfaf9380 (Metraipolis archive dc_7204bfaf9380, sha256 244c8ba492f46cbc8a1b4805ac9a52ce7dd4361c91da70de043d8dd7f07d64d0)

BibTeX

@misc{dc7204bfaf9380,
  title = {A tutorial on quantum scattering theory and coupled-channel calculations of bimolecular collisions — arXiv:2610.20882},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.20882},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_7204bfaf9380; sha256 244c8ba492f46cbc8a1b4805ac9a52ce7dd4361c91da70de043d8dd7f07d64d0},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.20882. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Collisions between atoms and molecules govern how energy is exchanged and redistributed in the gas phase, underpinning phenomena from spectral line broadening and interstellar molecular excitation to the cooling and trapping of molecules. A quantitative account of these collisions requires connecting the theoretical description of the interaction between the collision partners to measurable quantities such as cross sections. However, scattering theory as presented in quantum mechanics textbooks does not readily translate into numerical methods. Here, we formulate the scattering problem in Dirac notation, as customary in present-day quantum mechanics courses, and show how to build a practical numerical framework from it. We derive the "coupled channel" representation of the scattering problem with correct asymptotic behaviour and introduce Numerov's method to obtain time-independent wavefunctions, from which we calculate cross sections, the observables measured in scattering experiments. Starting from single channel scattering, we build up to the realistic collision of a ground-state atom with a diatomic molecule.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph) ; Atomic Physics (physics.atom-ph); Chemical Physics (physics.chem-ph).
Pagina del lavoro: https://arxiv.org/abs/2610.20882 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T08:55:37.160Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).