Does the manifestly covariant equation ∂α Aα = 0 imply that Aα is a four-vector?
Y -S Huang · Canadian Journal of Physics · 2008
Does the form invariance of an equation ∂αAα = 0 imply that Aα is a four-vector? We present a simple example to answer this question, with a view to clarifying the misconception that still exists.PACS Nos.: 03.30.+p, 03.50.De, 03.50.–z