Nota de FísicaPublicado
On the Classification of the Lévy-Leblond Spinors
Luiza Miranda; Isaque P. de Freitas; F. Toppan
Dados da publicação
- Autores
- Luiza Miranda; Isaque P. de Freitas; F. Toppan
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 22/11/2024
- Descrição
- The first-order Lévy-Leblond differential equations (LLEs) are the non-relativistic analogous of the Dirac equation: they are the “square roots” of the Schrödinger equation in ($1+d$) dimensions and admit spinor solutions. In this paper we show how to extend to the Lévy-Leblond spinors the real/complex/quaternionic classification of the relativistic spinors (which leads to the notions of Dirac, Weyl, Majorana, Majorana-Weyl, Quaternionic spinors). Besides the free equations, we also consider the presence of potential terms. Applied to a conformal potential, the simplest $(1+1)$-dimensional LLE induces a new differential realization of the $osp(1|2)$ superalgebra in terms of first-order differential operators depending on the time and space coordinates.
- Ano
- 2024
- Número
- CBPF-NF-003/24
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não