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Quaternionic potentials in non-relativistic quantum mechanics

2001/11/30 by Stefano De Leo, S. De Leo, Gisele Ducati +3 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Classical mechanics #Interferometry #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Schrödinger equation #Schrödinger's cat #hep-th

paper · pdf · doi:10.1088/0305-4470/35/26/305

published as J. Phys. A 35, 5411-5426 (2002) · 21 pages, 16 figures (ps), AMS-TeX

openalex publication_date 2002/06/21 · arxiv created 2002/08/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss the Schrödinger equation in the 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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