2000/08/04 by J. A. Sheikh, E. Lopes, P. Ring · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Exact solutions in general relativity #Function (biology) #Numerical analysis #Phase (matter) #Physics of Superconductivity and Magnetism #Quantum #Quantum Mechanics and Non-Hermitian Physics #nucl-th
paper · pdf · doi:10.1134/1.1358472
published in Physics of Atomic Nuclei 64(3), 477-481 (Pleiades Publishing) · RevTeX, 11 pages, 3 figures. To be published in a special edition of Physics of Atomic Nuclei (former Sov. J. Nucl. Phys.) dedicated to the 90th birthday of A.B. Migdal
arxiv created 2000/08/04 · openalex publication_date 2001/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The numerical solution of the recently formulated number-projected Hartree-Fock-Bogolyubov (HFB) equations is studied in an exactly solvable cranked-deformed shell-model Hamiltonian. It is found that the solution of these number-projected equations involves similar numerical effort as that of bare HFB. We consider that this is significant progress in the mean-field studies of quantum many-body systems. The results of the projected calculations are shown to be in almost complete agreement with the exact solutions of the model Hamiltonian. The phase transition obtained in the HFB theory as a function of the rotational frequency is shown to be smeared out with the projection.