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Hartree approximation I: The fixed point approach

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: E. Prodan and P. Nordlander

Editorial: J. Math. Phys., 42, p.3390-3406, 2001.

Rezumat:

We consider the Hartree approximation at finite temprature. We give a justification of this approximation by using the methods of functional integration. For finite temperatures, a fixed point approach to solving the Hartree problem is proposed. For a class of two-body interactions and background potentials that include the Coulomb interaction, we prove that the Hartree equation has a unique solution provided the coupling constant is small. We also prove a similar result for local density theory.

Cuvinte cheie: many-body, rigorous results