TL;DR
This paper explores quaternionic quantum mechanics for elastic scattering, deriving wave functions, phase shifts, and the optical theorem, and finds strong agreement with traditional complex quantum mechanics, supporting the quaternionic approach.
Contribution
It introduces a quaternionic framework for elastic scattering and derives key scattering parameters, validating it against standard complex quantum mechanics results.
Findings
Quaternionic results align closely with complex quantum mechanics.
Derived wave functions and phase shifts for quaternionic scattering.
Confirmed the validity of quaternionic quantum mechanics in scattering scenarios.
Abstract
We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics (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 QM generalization of ordinary complex quantum mechanics (QM).
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