简并自旋结构与Levy-Leblond方程
Degenerate Spin Structures and the Levy-Leblond Equation
摘要:
利用余秩一退化度量张量定义了Newton-Cartan流形和Galilei群。利用Newton-Cartan 4-流形上的退化旋量群,将Newton-Cartan联络提升到退化旋量丛上。利用提升联络构造Levy-Leblond方程。
英文摘要:
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.
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