Degenerate Spin Structures and the Levy-Leblond Equation
TURKISH JOURNAL OF PHYSICS, vol.30, no.5, pp.411-417, 2006 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 30 Issue: 5
- Publication Date: 2006
- Journal Name: TURKISH JOURNAL OF PHYSICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.411-417
- Anadolu University Affiliated: Yes
Abstract
Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group. Levy-Leblond equation is constructed with the lifted connection.