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Quantum-mechanical modeling without wave functions
Authors:V G Zavodinsky  O A Gorkusha
Institution:1. Institute for Materials Science, Khabarovsk Scientific Center, Far Eastern Branch of the Russian Academy of Sciences, ul. Tikhookeanskaya 153, Khabarovsk, 680042, Russia
2. Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000, Russia
Abstract:It has been shown that the variational principle can be used as the practical way to find the electron density and the total energy in terms of the density functional theory without solving the Kohn-Sham equations (the so-called orbital-free approach). The equilibrium interatomic distances and binding energies found using examples of diatomic systems Si2, Al2, and P2 are in good agreement with the published data. The results obtained for Si-Al, Si-P, and Al-P dimers are also close to the results obtained by the Kohn-Sham method.
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