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Foundations of Physics

, Volume 46, Issue 4, pp 473–483 | Cite as

Quaternionic Particle in a Relativistic Box

  • Sergio Giardino
Article

Abstract

This study examines quaternion Dirac solutions for an infinite square well. The quaternion result does not recover the complex result within a particular limit. This raises the possibility that quaternionic quantum mechanics may not be understood as a correction to complex quantum mechanics, but it may also be a structure that can be used to study phenomena that cannot be described through the framework of complex quantum mechanics.

Keywords

Quantum mechanics Dirac equation Quaternions  Confined solutions 

Notes

Acknowledgments

Sergio Giardino receives a financial grant from the CNPq for his research, and is grateful for the hospitality of Professor Paulo Vargas Moniz and the Centre for Mathematics and Applications at University of Beira Interior.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Departamento de Física & Centro de Matemática e AplicaçõesUniversidade da Beira InteriorCovilhãPortugal

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