2005/10/14 by M Fernández, M. A. Fernandez, J.L. Egido +1 · 12 citations
Mathematics · Physics and Astronomy · #Algorithm #Ansatz #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Coordinate space #Crossover #Generator (circuit theory) #Geometry #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Pairing #Physics #Physics of Superconductivity and Magnetism #Projection (relational algebra) #Projection method #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Wave function #cond-mat.supr-con #nucl-th
paper · pdf · doi:10.1140/epjb/e2005-00405-y
published in The European Physical Journal B 48(3), 305-317 (Springer Science+Business Media) · Submitted to EPJB
arxiv created 2005/10/14 · openalex publication_date 2005/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Particle Number Projected Generator Coordinate Method is formulated for the pairing Hamiltonian in a detailed way in the projection after variation and the variation after projection methods. The dependence of the wave functions on the generator coordinate is analyzed performing numerical applications for the most relevant collective coordinates. The calculations reproduce the exact solution in the weak, crossover and strong pairing regimes. The physical insight of the Ansatz and its numerical simplicity make this theory an excellent tool to study pairing correlations in complex situations and/or involved Hamiltonians.