A closed formula for the barrier transmission coefficient in quaternionic quantum mechanics

Autor(es)

De Leo, Stefano ^[1] ; Ducati, Gisele ^[2] ; Leonardi, Vinicius ^[1] ; Pereira, Kenia ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Appl Math, BR-13083970 Campinas, SP - Brazil

^[2] Fed Univ ABC, CMCC, BR-09210170 Santo Andre, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 51, n. 11 NOV 2010.
• Citações Web of Science: 3

Resumo

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] (AU)

• Processo FAPESP: 10/02216-2 - O formalismo de pacotes de ondas no estudo de equações diferenciais em mecânica quântica e ótica
• Beneficiário: Stefano de Leo
• Modalidade de apoio: Bolsas no Exterior - Pesquisa