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Solving the single-impurity Anderson model (SIAM) is a basic problem of solidstate physics. The SIAM model is very important, at present it is also used forsystems with quantum impurities, e.g. semiconductor quantum dots and moleculartransistors. Its main application is in the scheme of dynamical mean fieldtheory (DMFT) describing strong correlation electron systems. To solve the SIAMproblem we use the equation of motion (EOM) Green function approach. In thisreport we present the novel EOM approximation in which we differentiate theGreen function over both time variables. This differs from the commonly usedEOM solution by Appelbaum, Penn and Lacroix where the authors take timederivative only over primary time variable. After extending calculations tohigher order Green functions we find the new approximate dynamical solution ofSIAM. The results are compared with the solutions to the SIAM problem atintermediate Coulomb repulsion U such as the Modified Iterative PerturbationTheory. Our approach is suitable for describing quantum dots.

Alternative equation of motion approach to the single-impurity Anderson model