2014
DOI: 10.1002/mma.3378
|View full text |Cite
|
Sign up to set email alerts
|

On a connection between the Maxwell system, the extended Maxwell system, the Dirac operator and gravito‐electromagnetism

Abstract: Abstract. Maxwell's equation, Dirac's equation and the equation of gravitoelectromagnetism are shown to be particular instances of the extended Maxwell system. The equations are discussed in the framework of the theory of evolutionary equations. Their formal relationship are systematically analyzed. Applications to coupled systems such as the Maxwell-Dirac system are also discussed.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
11
0

Year Published

2016
2016
2024
2024

Publication Types

Select...
5
1

Relationship

2
4

Authors

Journals

citations
Cited by 14 publications
(11 citation statements)
references
References 43 publications
0
11
0
Order By: Relevance
“…The proofs of which are straightforward and will therefore be omitted. In a similar fashion, they can be found in [45]. For the next result we use L 2 R ( ) and L 2 C ( ) to denote the Hilbert space L 2 ( ) with the reals and the complex numbers as respective underlying field.…”
Section: The Dirac Operatormentioning
confidence: 99%
See 3 more Smart Citations
“…The proofs of which are straightforward and will therefore be omitted. In a similar fashion, they can be found in [45]. For the next result we use L 2 R ( ) and L 2 C ( ) to denote the Hilbert space L 2 ( ) with the reals and the complex numbers as respective underlying field.…”
Section: The Dirac Operatormentioning
confidence: 99%
“…6. In consequence, it is possible to compute the indices for the block de Rham operators It is noteworthy that this index theorem provides an index theorem for the Dirac operator on open manifolds with boundary endowed with a particular boundary condition, see [45] and Sect. 6.3 below.…”
Section: {0} ι {0}mentioning
confidence: 99%
See 2 more Smart Citations
“…In a number of studies [21,20,14,33,29,22] it has been illustrated, that typical initial boundary value problems of mathematical physics can be represented in the general form…”
Section: Introductionmentioning
confidence: 99%