2006/10/01 by Stefano De Leo, Gisele C. Ducati · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Diffusion #Point (geometry) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Quaternion #Quaternionic representation #Reflection (computer programming) #Transmission (telecommunications) #Wave packet #math-ph #math.MP
paper · pdf · doi:10.1063/1.2359577
published as J. Math. Phys. 47, 102104-9 (2006) · 10 pages, 1 figure
openalex publication_date 2006/10/01 · arxiv created 2006/11/10 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In looking for qualitative differences between quaternionic and complex formulations of quantum physical theories, we provide a detailed discussion of the behavior of a wave packet in the presence of a quaternionic time-independent potential step. In this paper, we restrict our attention to diffusion phenomena. For the group velocity of the wave packet moving in the potential region and for the reflection and transmission times, the study shows a striking difference between the complex and quaternionic formulations which could be matter of further theoretical discussions and could represent the starting point for a possible experimental investigation.