Journals / Turkish Journal of Physics / 2006 / Cilt: 30 - Sayı: 5
Degenerate Spin Structures and the Lévy-Leblond Equation
- Journal
- Turkish Journal of Physics
- Pages
- 411–417
- DOI
- —
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.
Özet
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.