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.
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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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Giardino, S. Quaternionic Particle in a Relativistic Box. Found Phys 46, 473–483 (2016). https://doi.org/10.1007/s10701-015-9974-6
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DOI: https://doi.org/10.1007/s10701-015-9974-6