The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functi...The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functions are studied. Furthermore, the notion of E-epigraphs is generalized to geodesic E-epigraphs and a characterization of geodesic E-quasiconvex functions in terms of its geodesic E-epigraphs is considered.展开更多
The Su-Schrieffer-Heeger Hamiltonian and the Hubbard Hamiltonian within the unrestricted Hartree-Fock scheme have been used to study the effects of e-e interaction on lattice distortions and electronic structures of C...The Su-Schrieffer-Heeger Hamiltonian and the Hubbard Hamiltonian within the unrestricted Hartree-Fock scheme have been used to study the effects of e-e interaction on lattice distortions and electronic structures of C-60, C2-60, C+60, C2+60, When the interaction parameter increases from 0 to 3 eV, the bond variables of the C60 molecules are altered slightly, but the polaron energy levels and the charge density distributions of the C60 molecules are modified seriously.展开更多
基金Supported by the National Natural Science Foundation of China(11074099)
文摘The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functions are studied. Furthermore, the notion of E-epigraphs is generalized to geodesic E-epigraphs and a characterization of geodesic E-quasiconvex functions in terms of its geodesic E-epigraphs is considered.
文摘The Su-Schrieffer-Heeger Hamiltonian and the Hubbard Hamiltonian within the unrestricted Hartree-Fock scheme have been used to study the effects of e-e interaction on lattice distortions and electronic structures of C-60, C2-60, C+60, C2+60, When the interaction parameter increases from 0 to 3 eV, the bond variables of the C60 molecules are altered slightly, but the polaron energy levels and the charge density distributions of the C60 molecules are modified seriously.