Quaternionic potentials in non-relativistic quantum mechanics
S. De Leo (DMA-UniCamp), C.G. Ducati (DM-UFPR), Celso C. Nishi, (IFGW-UniCamp)
TL;DR
This paper explores the effects of quaternionic potentials in the Schrödinger equation, combining analytical and numerical methods, and discusses potential experimental tests to observe quaternionic quantum phenomena.
Contribution
It introduces the study of quaternionic potentials in quantum mechanics and reviews experimental proposals for detecting quaternionic effects.
Findings
Analytical solutions for quaternionic Schrödinger equation
Numerical results on quaternionic potential effects
Review of neutron interferometry experiments
Abstract
We discuss the Schrodinger equation in presence of quaternionic potentials. The study is performed analytically as long as it proves possible, when not, we resort to numerical calculations. The results obtained could be useful to investigate an underlying quaternionic quantum dynamics in particle physics. Experimental tests and proposals to observe quaternionic quantum effects by neutron interferometry are briefly reviewed.
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