Subjects: Physics >> The Physics of Elementary Particles and Fields Subjects: Mathematics >> Mathematical Physics submitted time 2018-10-08
Abstract： In the present paper, we have systematically explored the general rules for all kinds of combination of Hodge star and exterior differentiation operators. We have derived the unified forms of the non-vanishing and independent operators made up of arbitrary numbers of Hodge star and exterior differentiation operators. On basis of this, we have explicitly investigated the interaction of all the combined operators. What is more, all the operators have been classified according to the ranks of the newly generated differential forms. As an application, it has been demonstrated that the Maxwell’s equations for U(1) gauge field can be constructed from the linear combinations of two (n-1)-forms. "
Peer Review Status:
Awaiting Review
Hits
Hits
Downloads
Comment