Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field

We explore the concept of the pseudopotential, introduced in a previous paper, within the context of the exact boundary condition for a system of fermions interacting through a pair-wise, hard-core potential, in the thermodynamic limit. We discuss several Ansätze for the Lagrange multipliers that al...

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Autores principales: Hernández, E.S., Plastino, A., Szybisz, L.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05562813_v22_n1_p299_Hernandez
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Sumario:We explore the concept of the pseudopotential, introduced in a previous paper, within the context of the exact boundary condition for a system of fermions interacting through a pair-wise, hard-core potential, in the thermodynamic limit. We discuss several Ansätze for the Lagrange multipliers that allow the inclusion of the boundary conditions into the variational principle. It is found that under a given Ansatz, a dynamical, microscopic interpretation of the pseudopotential can be put forward. A comparison between this situation and the coherent approximation induced by the use of the correlation function is also presented. NUCLEAR STRUCTURE Hard-core interactions, boundary condition, variational principle constrained Hartree-Fock problem; Ansatz, structure of the pseudopotential, state dependence. © 1980 The American Physical Society.