2016/04/20 by Hadi Sobhani, H. Hassanabadi, Sobhani, Hadi +1
Physics and Astronomy · Mathematics · #Model Reduction and Neural Networks #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.1604.06087
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.