Quaternionic elastic scattering

• URL: http://arxiv.org/abs/2011.05743v1
• Date: Wed, 11 Nov 2020 12:52:04 GMT
• Title: Quaternionic elastic scattering
• Authors: Sergio Giardino
• Abstract summary: We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ($mathbbm H$QM) 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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