Klein-Gordon and Dirac particles in non-constant scalar-curvature background

M. Alimohammadi, A. A. Baghjary

The Klein-Gordon and Dirac equations are considered in a semi-infinite lab ($x>0$) in the presence of background metrics $d{s}^2=u^2(x){\eta }_{\mu \nu }d{x}^{\mu }d{x}^{\nu }$ and $ds^2=-dt^2+u^2(x)η_{i…