Pramana | |
Invariance properties of the Dirac equation with external electro-magnetic ï¬eld | |
N D Sen Gupta1  | |
[1] Tata Institute of Fundamental Research, Mumbai 400 005, India$$ | |
关键词: Dirac equation; electromagnetic ï¬eld; Lie groups.; | |
DOI : | |
学科分类:物理(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
In this paper, we attempt to obtain the nature of the external ï¬eld such that the Dirac equation with external electro-magnetic ï¬eld is invariant. The Poincar´e group, which is the maximal symmetry group for ï¬eld free case, is constrained by the presence of the external ï¬eld. Introducing inï¬nitesimal transformation of x andψ, we apply Lie’s extended group method to obtain the class of external ï¬eld which admit of the invariance of the equation. It is important to note that the constraints for the existence of invariance are explicity on the electric and magnetic ï¬eld, though only potentials explicity appears in the equation.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912040496195ZK.pdf | 57KB | download |