Study of Time Evolution for Approximation of Two-Body Spinless-Salpeter   Equation
  We approximate the two-body spinless Salpeter equation with the one which is valid in heavy quarks limit. We consider the resulting semi-relativistic equation in a time-dependent formulation. We use the Lewis- Riesenfeld dynamical invariant method and series solution to obtain the solutions of the differential equation. We have also done some calculations in order to derive the time evolution operator for the considered problem. 
Hadi Sobhani and Hassan Hassanabadi
quant-ph