On the invariance properties of the Klein–Gordon equation with external electromagnetic field

Pramana

N D Sen Gupta¹ 

[1] Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India$$

关键词: Klein–Gordon equation;    Lie analysis;    prolongation group;    Poincaré group.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Here we attempt to find the nature of the external electromagnetic field such that the KG equation with external electromagnetic field is invariant. Lie’s extended group method is applied to obtain the class of external electromagnetic field which admits the invariance of the KG equation. Though, the field potential only explicitly appears in the equation, the constraints for the invariance are only on the electromagnetic field.

【 授权许可】

Unknown