Dirac quantum walks with conserved angular momentum

A quantum walk (QW) simulating the flat ( 1 + 2 ) D Dirac equation on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a representation of the rotation group SO ( 3 ) , but rather of its double cover SU ( 2 ) , the QW can only be defined globa...

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Veröffentlicht in:	Quantum Studies : Mathematics and Foundations 2021-11, Vol.8 (4), p.419-430
Hauptverfasser:	Jay, Gareth, Arnault, Pablo, Debbasch, Fabrice
Format:	Artikel
Sprache:	eng
Schlagworte:	Angular momentum Dirac equation Electromagnetic fields Fermions History and Philosophical Foundations of Physics Mathematical and Computational Physics Mathematical Physics Mathematics Mathematics and Statistics Physics Quantum Physics Regular Paper Theoretical
Online-Zugang:	Volltext
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