The relation between weighted Dirac operators and a Maxwell-type system
Abstract:
The main objective of the present work is to find relationships between the solutions of weighted Dirac operator Dw + λ, the solutions of the generalized Helmholtz operator div(B∇) + λ 2 and the solutions of a time-harmonic Maxwell-type system, in the framework of the algebra of complex quaternions. As a result, we show how to build the solutions of this Maxwell-type system through homogeneous solutions of one of these operators and vice versa.
Año de publicación:
2024
Keywords:
- complex quaternions
- Helmholtz operator
- Maxwell Equations
- weighted Dirac operators
Fuente:
scopusTipo de documento:
Other
Estado:
Acceso restringido
Áreas de conocimiento:
- Ecuación diferencial
- Matemáticas aplicadas
- Modelo matemático
Áreas temáticas de Dewey:
- Análisis
- Álgebra
- Física
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- ODS 7: Energía asequible y no contaminante
- ODS 11: Ciudades y comunidades sostenibles
- ODS 9: Industria, innovación e infraestructura
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