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We report a new version of fermion coupled coherent states method (FCCS-II)to simulate two-electron systems based on a self-symmetrized six-dimensional(6D) coherent states grid. Unlike the older fermion coupled coherent statesmethod (FCCS-I), FCCS-II does not need any new equations in comparison with thecoupled coherent states method. FCCS-II uses a simpler and more efficientapproach for symmetrizing the spatial wave function in the simulation offermionic systems. This method, has significantly increased the speed ofcomputations and give us the capability to simulate the quantum systems withthe larger CS grids. We apply FCCS-II to simulate the Helium atom and theHydrogen molecule based on grids with a large numbers of coherent states.FCCS-II with a relatively low number of CS gives a potential energy curve forH2 that is very close to the exact potential curve. Moreover, we havere-derived all the important equations of the FCCS-I method.

A new version of fermion coupled coherent states method: Theory and applications in simulation of two-electron systems