Time-Dependent Dirac Equation for Diatomics in SuperIntense Laser Fields -Numerical and Analytical results

Numerical methods for solving the one-electron diatomic molecular Dirac equation in ultrashort(few cycles) superintense laser pulses are developped without Fermion-doubling. A split-operator method, originally developped for nonrelativistic time-dependent molecular problems is generalized using the method of characteristics [1]. Analytic results are also presented for a superintense static electric field to evaluate relativistic effects in diatomic CREI-Charge Resonance Enhanced Ionization [2].\\[4pt] [1] E Lorin, AD Bandrauk, Nonlinear Analysis, 12, 190(2011).\\[0pt] [2] T Zuo, AD Bandrauk, Phys Rev A 54,2511 (1995).