Approximate energy correction for particle number symmetry breaking in constrained Hartree-Fock plus BCS calculations

1990 ◽  
Vol 41 (1) ◽  
pp. 341-349 ◽  
Author(s):  
P. Quentin ◽  
N. Redon ◽  
J. Meyer ◽  
M. Meyer
Keyword(s):  
Symmetry Breaking ◽  
Particle Number ◽  
Energy Correction ◽  
Hartree Fock

THE HIGHER TAMM–DANCOFF APPROXIMATION: THEORETICAL CONTEXT AND PHENOMENOLOGICAL ASPECTS

2008 ◽  
Vol 17 (01) ◽  
pp. 228-239 ◽  
Author(s):  
PHILIPPE QUENTIN ◽  
HOUDA NAIDJA ◽  
LUDOVIC BONNEAU ◽  
JOHANN BARTEL ◽  
HA THUY LONG
Keyword(s):  
Shell Model ◽  
Quadrupole Interaction ◽  
Particle Number ◽  
Proton Proton ◽  
Hartree Fock ◽  
Pairing Correlations ◽  
Key Aspects ◽  
Proton Pairing ◽  
Theoretical Foundations ◽  
Model Approach

We present the key aspects of the theoretical foundations of the Higher Tamm–Dancoff Approximation which can be interpreted as a truncated shell-model approach based on a Hartree–Fock solution, ensuring the conservation of the particle number. Then we discuss some phenomenological aspects of the residual interactions used, namely the delta interaction to describe the neutron–neutron and proton–proton pairing correlations and the quadrupole–quadrupole interaction to describe vibrational correlations.

CONSTRUCTIVE MANY-BODY THEORY

1994 ◽  
Vol 06 (05a) ◽  
pp. 1095-1126
Author(s):  
JOEL FELDMAN ◽  
JACQUES MAGNEN ◽  
VINCENT RIVASSEAU ◽  
EUGENE TRUBOWITZ
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
Particle Number ◽  
Many Body ◽  
Many Body Theory ◽  
Goldstone Bosons ◽  
Temperature Zero ◽  
Body Theory

We review the rôle played by renormalization, particle-number symmetry breaking, Goldstone bosons and the renormalization group in a mathematically rigorous construction of many-Fermion models at temperature zero.

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