TCB Publications - Abstract

Ioan Kosztin, Byron Faber, and Klaus Schulten. Introduction to the diffusion Monte Carlo method. American Journal of Physics, 64:633-644, 1996.

KOSZ96 A detailed description of the diffusion Monte Carlo (DMC) method for determining the ground state energy and wave function of quantum systems is provided. First, the theoretical basis of the method is derived and then a numerical algorithm is formulated. The algorithm is applied to determine the ground state of the harmonic oscillator, the Morse oscillator, the hydrogen atom, and the electronic ground state of the $H_{2}$+ ion and of the $H_{2}$ molecule.

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