Transition Probabilities for a Relativistic One-Electron Atom

Using Variational Monte Carlo methods we have calculated trial wave function forms for a number of one-electrons atoms with Z$=$92. In order to incorporate relativistic effects, our trial wave functions satisfy both the 2-component Dirac equation and the 4-component Dirac equation. With these trial wave functions we have calculated a number of simple expectation values as well as several M1 and E1 transition probabilities. We compare our results with those of generated by other methods.