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arXiv · 2011.05743

Quaternionic elastic scattering

Sergio Giardino
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Abstract

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).

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Sergio Giardino. 2020-11-11. Quaternionic elastic scattering. https://doi.org/10.1209/0295-5075/132/50010

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