Incorporação da teoria de matriz densidade no metodo Monte Carlo Quantico aplicado na obtenção de potenciais de ionização de valencia e de caroço / Incorporation of the density matrix theory in the Quantum Monte Carlo method applied in the calculation of valence and core ionization potentials

AUTOR(ES)
DATA DE PUBLICAÇÃO

2006

RESUMO

Quantum Monte Carlo (MCQ) is an stochastic method that makes possible to solve the Schrödinger equation. The two most common approachs are: the variational Monte Carlo (MCV) and diffusion Monte Carlo (MCD). The implementation of MCQ presented close results to the experimental values for a great number of systems. However, it does not represent excited states correctly and presents a deficiency in the mathematical treatment of the Slater determinant. A formally correct mathematical alternative to treat the Slater determinant is possible from the concept of density matrix. In this work, applications of traditional MCQ method and density matrix are presented in the most elementary level of ionization model corresponding to the Koopmans theorem. The new theoretical treatment is implemented and surfaces of probability density are generated for the verification of possible differences with the traditional method, which are evidenced for atomic and molecular systems. Using the MCV and MCD techniques using both mathematical approachs energies of neutral and cationic systems with valence and core eletronic states are evaluated and the respective ionization potentials are calculated for atoms and simple molecules. The Hartree-Fock energies are reproduced by MCV and the calculations with MCD produced better results indicating a extremely simple alternative for ionization calculations. The values found for both mathematical treatments are similar, except for some core eletronic states, where the traditional calculation does not converge, while the new treatment converges normally. MCV reproduces the Koopmans theorem for the cases studied and MCD improved significantly this theorem. In general, the new mathematical model based on density matrix theory, presents more reliable results for core eletronic states, suggesting a promising computational procedure

ASSUNTO(S)

ionização quimica quantica density matrix ionization electronic structure quantum chemistry estrutura eletronica matriz de densidade

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