Hartree--Fock--Bogoliubov Approximation for Finite Systems

1999/07/22 by Aurel Bulgac, Bulgac, Aurel
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/9907088

11 pages + 4 figures. A copy of the original preprint in jpeg format can be found at: http://www.phys.washington.edu/~bulgac/publications.html

openalex publication_date 1999/07/22 · arxiv created 2000/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some general features of the spectrum of the Hartree-Fock-Bogoliubov equations are examined. Special attention is paid to the asymptotic behavior of the single quasiparticle wave functions (s.qp.w.fs.), matter density distribution and density of the pair condensate. It is shown that due to the coupling between hole and particle states,the deeply bound hole states acquire a width and have to be treated as continuum states. The proper normalization of the s.qp.w.fs. is discussed.

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