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Type: Artigo de periódico
Title: Analytic plane wave solutions for the quaternionic potential step
Author: De Leo, S
Ducati, GC
Madureira, TM
Abstract: By using the recent mathematical tools developed in quaternionic differential operator theory, we solve the Schrodinger equation in the presence of a quaternionic step potential. The analytic solution for the stationary states allows one to explicitly show the qualitative and quantitative differences between this quaternionic quantum dynamical system and its complex counterpart. A brief discussion on reflected and transmitted times, performed by using the stationary phase method, and its implication on the experimental evidence for deviations of standard quantum mechanics is also presented. The analytic solution given in this paper represents a fundamental mathematical tool to find an analytic approximation to the quaternionic barrier problem (up to now solved by numerical method). (c) 2006 American Institute of Physics.
Country: EUA
Editor: Amer Inst Physics
Rights: aberto
Identifier DOI: 10.1063/1.2227635
Date Issue: 2006
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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