On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials

作     者：Aristides I Kechriniotis Christos A Tsonos Konstantinos K Delibasis Georgios N Tsigaridas Aristides I Kechriniotis;Christos A Tsonos;Konstantinos K Delibasis;Georgios N Tsigaridas

作者机构：Department of PhysicsUniversity of ThessalyGR 35100 LamiaGreece Department of Computer Science and Biomedical InformaticsUniversity of ThessalyGR-35100 LamiaGreece Department of PhysicsSchool of Applied Mathematical and Physical SciencesNational Technical University of AthensGR-15780 Zografou AthensGreece 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2020年第72卷第4期

页      面：52-63页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0702[理学-物理学] 

主　　题：Dirac equation Weyl equation degenerate solutions electromagnetic four-potentials electromagnetic fields massless particles 

摘      要：In this work we study in detail the connection between the solutions to the Dirac and Weyl equations and the associated electromagnetic ***,it is proven that all solutions to the Weyl equation are degenerate,in the sense that they correspond to an infinite number of electromagnetic *** far as the solutions to the Dirac equation are concerned,it is shown that they can be classified into two *** elements of the first class correspond to one and only one four-potential,and are called non-degenerate Dirac *** the other hand,the elements of the second class correspond to an infinite number of four-potentials,and are called degenerate Dirac ***,it is proven that at least two of these fourpotentials are gauge-inequivalent,corresponding to different electromagnetic *** order to illustrate this particularly important result we have studied the degenerate solutions to the forcefree Dirac equation and shown that they correspond to massless *** have also provided explicit examples regarding solutions to the force-free Weyl equation and the Weyl equation for a constant magnetic *** all cases we have calculated the infinite number of different electromagnetic fields corresponding to these ***,we have discussed potential applications of our results in cosmology,materials science and nanoelectronics.