Physics – Mathematical Physics
Scientific paper
2010-12-21
Journal of Mathematical Physics 51, 113504-10 (2010)
Physics
Mathematical Physics
10 pages, 2 figures
Scientific paper
In this paper, we analyze, by using a matrix approach, the dynamics of a non-relativistic particle in presence of a quaternionic potential barrier. The matrix method used to solve the quaternionic Schrodinger equation allows to obtain a closed formula for the transmission coefficient. Up to now, in quaternionic quantum mechanics, almost every discussion on the dynamics of non-relativistic particle was motived by or evolved from numerical studies. A closed formula for the transmission coefficient stimulates an analysis of qualitative differences between complex and quaternionic quantum mechanics, and, by using the stationary phase method, gives the possibility to discuss transmission times.
Ducati Gisele
Leo Stefano de
Leonardi Vinicius
Pereira Kenia
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