Hartree-fock-bogoliubov mean-field theory
WebJul 18, 2008 · The coordinate space formulation of the Hartree-Fock-Bogoliubov (HFB) method enables self-consistent treatment of mean-field and pairing in weakly bound systems whose properties are affected by the particle continuum space. Of particular interest are neutron-rich, deformed drip-line nuclei which can exhibit novel properties … WebIn Hartree-Fock-Bogoliubov theory the state of the system is completely determined by two operators [3]. The one-particle density matrix γ is the same as in Hartree-Fock theory [34], whereas the pairing density matrix αdescribes the Cooper pairing effect. This
Hartree-fock-bogoliubov mean-field theory
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WebMay 23, 2016 · Therefore, mean-field theory is exact for BCS, where you have an effective long-range interaction. As for rigorous results, Bogoliubov rigorously proved that in the ground state (zero temperature) the energies per particle coincide for BCS and the mean-field theory in the thermodynamic limit. WebRepulsive soft-core atomic systems may undergo clustering if their density is high enough that core overlap is unavoidable. In one-dimensional quantum systems, it has been shown that this instability triggers a transit…
Webthe Gaussian state theory (GST) [35,36], a generaliza-tion to the conventional coherent-state-based mean-field theory. In GST, quantum fluctuation is inherently in-cluded in the many-body wave function and is treated self-consistently. Compared to the well-known Hartree-Fock-Bogoliubov theory, this feature makes it particu- WebThe Hartree-Fock procedure simply solves for what the linear expansion coefficients actually are. The variables in the Hartree-Fock equations unfortunately depend on …
WebJan 15, 2000 · These are the Hartree-Fock-Bogoliubov (HFB) theory within the Popov approximation and a many-body T-matrix approach which we have termed gapless-HFB. … http://vergil.chemistry.gatech.edu/courses/chem4681/background/node6.html
WebHartree-Fock近似,Hartree-Fock approximation 1)Hartree-Fock approximationHartree-Fock近似 1.Based on the standard nonequilibrium Green\'s function approach,the …
WebApr 1, 2024 · In the HFB scheme, both the electron and quasi-particle describe the electronic distribution and Hamiltonian. The dimension of the Hamiltonian that must be … honest winter diapersWebSep 30, 2012 · The Hartree-Fock-Bogoliubov (HFB) technique is a mean field approach that consists in restricting the many-body Hamiltonian to a special class of states called … honest wolf walletWebFeb 1, 2024 · Staring from the Lagrangian density that foots on the meson-propagated picture of nuclear force, the full Hamiltonian, that contains both mean field and pairing contributions, is derived by quantizing the Dirac spinor field in the Bogoliubov quasi-particle space, and the expectation with respect to the Bogoliubov ground state gives … honest women looking for honest menWebRelativistic Mean Field (RMF) and Hartree-Fock-Bogoliubov based on D1S ... BCS Bardeen Cooper Schrieffer theory MCSM Monte Carlo Shell Model HFB Hartree Fock Bogoliubov method honest work: a business ethics reader pdfWebFeb 24, 2024 · Description of problem: HF-SHELL solves the self-consistent mean-field problem at finite temperature for nuclear shell-model Hamiltonians on the level of the Hartree-Fock (HF), the HF-Bogoliubov (HFB) or the HF+Bardeen-Cooper-Schrieffer (HF+BCS) approximations. The code also includes the option for zero-temperature … honest wirelessWebThe Hartree Fock method’s basic idea is that, using an initial trial wave function, the average field is calculated, then the eigenvalue equation (equation 9) is solved using this average field, and a new wave function is produced. honest wellness \u0026 weight loss llcWebJun 5, 2024 · The quasiparticle resonances are investigated by examining three kinds of quasiparticle spectra, i.e., the density of quasiparticle states, the occupation number density, and the pair number density in the continuum Skyrme Hartree-Fock-Bogoliubov theory with the Green’s function method. Taking the weakly bound nucleus 66Ca as an … hlr-rs485