The diffusion quantum Monte Carlo method is extended to solve the old theoretical physics problem of many-electron atoms and ions in intense magnetic fields. The feature of our approach is the use of adiabatic approximation wave functions augmented by a Jastrow factor as guiding functions to initialize the quantum Monte Carlo prodecure. We calculate the ground state energies of atoms and ions with nuclear charges from Z = 2, 3, 4, . . . , 26 for magnetic field strengths relevant for neutron stars.
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