Quaternionic diffusion by a potential step
Year: 2006
Type: article
Abstract: 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.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.2359577
Authors: Stefano De Leo, Gisele C. Ducati
Institution: Universidade Estadual de Campinas (UNICAMP)
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2077619612