Onaiwu Kingsley NosakhareOkanigbuan Robinson O2025-06-022025-06-022021Onaiwu, K. N. and Okanigbuan, R. O. (2021). Ground State Properties Of The One-Dimensional Hubbard Model: Symmetry Projected Variational Wave Function Approach. arXiv preprint.https://repository.crawforduniversity.edu.ng/handle/123456789/226We use the C4v symmetry group of the 4*site Hubbard model to construct a ground state variational wave function of two- and four interacting electrons. In the limit U 0, ground state energies of the two- and four interacting electrons system is of the order *4t. The variational wave function of the four interacting electrons obtained using the B1 irreducible representation is valid for on-site Coulomb repulsion, while the one obtained using the A1 representation is valid for negative values of the Coulomb interaction. The system exhibits antiferromagnetic correlations.enArticle