2002/03/31 by Constantine Yannouleas, Uzi Landman
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algorithm #Angular momentum #Cold Atom Physics and Bose-Einstein Condensates #Geometry #Homogeneous space #Mathematics #Molecule #Physics #Projection (relational algebra) #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Symmetry (geometry) #Total angular momentum quantum number #Wave function #cond-mat.mes-hall #cond-mat.str-el #nucl-th #physics.atom-ph
paper · pdf · doi:10.1088/0953-8984/14/34/101
published as J.Phys.Condens.Matter 14 (2002) L591 · 9 pages. Revtex with 2 GIF and 1 EPS figures. Published version with extensive clarifications. A version of the manuscript with high quality figures incorporated in the text is available at http://calcite.physics.gatech.edu/~costas/qdhelproj.html For related papers, see http://www.prism.gatech.edu/~ph274cy
openalex publication_date 2002/08/22 · arxiv created 2002/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A method for constructing semianalytical strongly correlated wavefunctions for single and molecular quantum dots (QDs) is presented. It employs a two-step approach of symmetry breaking at the Hartree–Fock level and of subsequent restoration of total spin and angular momentum symmetries via projection techniques. Illustrative applications are presented for the case of a two-electron helium-like single QD and a hydrogen-like QD molecule.