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  • American Institute of Physics (AIP)  (2)
  • Wiley-Blackwell  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 1464-1472 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Certain systems of nonlinear partial differential equations can be written in a simple form as a single Grassmann-valued partial differential equation. Equations describing compressible fluid flow are of this type. A method for finding soft solutions of the Grassmann-valued partial differential equation arising in this context is presented. The method is a generalization of the Lagrangian-coordinates approach to the case of Grassmann variables. Generally, solutions obtained by this method have the form of infinite series, whose expansion yields new relations among the unknown variables. In some simple cases, the series can be summed. The equivalence of the Grassmann solutions to the usual solutions is shown for these cases.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 291-294 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Baker–Campbell–Hausdorff relations are presented for the connected supergroup associated with the orthosymplectic algebra osp(1/2).
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Computational studies are reported of Stieltjes orbitals for Hilbert-space descriptions of discrete and continuum molecular electronic eigenstates. Particular attention is focused on the identification of N → V π(π → π*) and N → Vσ(σ → σ*) intravalence contributions to photoexcitation and ionization spectra in CO and H2CO molecules. Three-dimensional graphical representations of appropriate Stielties orbitals serve to identify the σ → σ* transitions of Mulliken as photoionization resonances above threshold in these compounds, whereas the corresponding π → π* contributions are spectrally localized as familiar discrete excited states. The development illustrates the nature and properties of Stieltjes orbitals, and demonstrates their utility in studies of both discrete and continuum excitation spectra on a common basis.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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