12 citations · 33 across the 10 of their papers we have counts for
4 papers · 1 filter
On the Angular Momentum and Spin of Generalized Electromagnetic Field for -Vectors in Space-Time Dimensions
Alfonso Martinez, Ivano Colombaro, Josep Font-Segura
This paper studies the relativistic angular momentum for the generalized electromagnetic field, described by -vectors in space-time dimensions, with exterior-algebraic m…
An Exterior Algebraic Derivation of the Euler-Lagrange Equations from the Principle of Stationary Action
Ivano Colombaro, Josep Font-Segura, Alfonso Martinez
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e.,…
Generalized Maxwell equations for exterior-algebra multivectors in space-time dimensions
Ivano Colombaro, Josep Font-Segura, Alfonso Martinez
This paper presents an exterior-algebra generalization of electromagnetic fields and source currents as multivectors of grades and respectively in a flat space-time with…
An Introduction to Space-Time Exterior Calculus
Ivano Colombaro, Josep Font-Segura, Alfonso Martinez
The basic concepts of exterior calculus for space-time multivectors are presented: interior and exterior products, interior and exterior derivatives, oriented integrals over hypers…