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  • Hindawi  (2)
  • American Institute of Physics (AIP)  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Symmetries in the Hubbard model with n-fold orbital degeneracy (2001)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 42 (2001), S. 4865-4872 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The present paper studies the symmetries of the Hubbard model of electrons with generally n-fold orbital degeneracy. It is shown that SUd(2n) and SUc(2n) symmetries hold, respectively, for the model with completely repulsive or attractive on-site interaction and that with partly attractive interactions. An extended Lieb–Mattis transformation is given to map these two symmetries into each other. The subsymmetry SUd(e)(n)⊗SUd(o)(n) is found to be shared by the two models with arbitrary chemical potential μ. By assuming at most two electrons on each site it is found that SUd(2n)P and SUc(2n)P both exist in each kind of the two models and consequently lead to a larger symmetry SUd(2n)P×SUc(2n)P. Another underlying symmetry (SUc(e)(2)P×(centered ellipsis)×SUc(e)(2)P)⊗(SUc(o)(2)P×(centered ellipsis)×SUc(o)(2)P) is also revealed for the unified U model under the excluding. The symmetry is valid for the partially attractive model with chemical potential μ=−U. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1402956
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  • 2
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    Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients (2018)
    Hindawi
    Details
    Publication Date: 2018-07-09
    Description: This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations with variable coefficients, including nonhomogeneous parabolic equations, fractional heat equations in 2D, and fractional wave equations in 3D. These applications show that residual power series method is a simple, effective, and powerful method for seeking analytical series solutions of differential equations (especially for fractional differential equations) with variable coefficients.
    Print ISSN: 1026-0226
    Electronic ISSN: 1607-887X
    Topics: Mathematics
    Published by Hindawi
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  • 3
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    Chemically Diverse Secondary Metabolites fromDavidia involucrata(Dove Tree) (2016)
    Hindawi
    Details
    Publication Date: 2016-01-01
    Description: Dove tree,Davidia involucrataBaill. which is endemic in western China, is not only one of the best known relict species of the tertiary, but also a famous ornamental plant with dove-shaped flowers. A diverse array of secondary metabolites have been isolated and identified fromDavidia involucrata. The 58 structures of the secondary metabolites were presented and classified as triterpenoids, tannins, phenolic compounds, lignans, flavonoids, alkaloids, and sterol. In addition, the biosynthetic route of some triterpenoids was proposed. Moreover, the advances in the discovery of unprecedented compounds and uncovering of notable bioactivities were highlighted in this review.
    Print ISSN: 2090-9063
    Electronic ISSN: 2090-9071
    Topics: Chemistry and Pharmacology
    Published by Hindawi
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