Spinor representation of Maxwell's equations

[摘要] Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Thus, the group of Lorentz two-spinors is the covering group of the Lorentz group. Since the Lorentz group is a symmetry group of Maxwell's equations, it is assumed to reasonable to use when writing the Maxwell equations Lorentz two-spinors and not tensors. We describe in detail the representation of the Maxwell's equations in the form of Lorentz two-spinors. This representation of Maxwell's equations can be of considerable theoretical interest.

[发布机构] Department of Applied Probability and Informatics, RUDN University (Peoples' Friendship University of Russia), 6 Miklukho-Maklaya str., Moscow; 117198, Russia^1;Laboratory of Information Technologies, Joint Institute for Nuclear Research, 6 Joliot-Curie, Moscow region, Dubna; 141980, Russia^2;Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 6 Joliot-Curie, Moscow region, Dubna; 141980, Russia^3

[效力级别] 数学

[关键词] Lorentz;Lorentz group;Special objects;Spinors;Symmetry groups