| Issue |
EPL
Volume 132, Number 5, December 2020
|
|
|---|---|---|
| Article Number | 50010 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/132/50010 | |
| Published online | 24 February 2021 | |
Quaternionic elastic scattering
Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul (UFRGS) Avenida Bento Gonçalves 9500, Caixa Postal 15080, 91501-970 Porto Alegre, RS, Brazil
Received: 5 October 2020
Accepted: 10 November 2020
We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm{H}$ QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for the case of a hard sphere scattering potential. The strong agreement between these new quaternionic results and the corresponding results in complex quantum mechanics reinforce the validity of the $\mathbbm{H}$ QM generalization of ordinary complex quantum mechanics ($\mathbbm C$ QM).
PACS: 03.65.Nk – Scattering theory / 03.65.-w – Quantum mechanics / 03.65.Ca – Formalism
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