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Type: Artigo de periódico
Title: A closed formula for the barrier transmission coefficient in quaternionic quantum mechanics
Author: De Leo, S
Ducati, G
Leonardi, V
Pereira, K
Abstract: In this paper, we analyze, by using a matrix approach, the dynamics of a nonrelativistic particle in presence of a quaternionic potential barrier. The matrix method used to solve the quaternionic Schrodinger equation allows us to obtain a closed formula for the transmission coefficient. Up to now, in quaternionic quantum mechanics, almost every discussion on the dynamics of nonrelativistic particle was motivated 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. (c) 2010 American Institute of Physics. [doi:10.1063/1.3504165]
Country: EUA
Editor: Amer Inst Physics
Rights: aberto
Identifier DOI: 10.1063/1.3504165
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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