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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 4328-4333 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Two different interpretations are given for the Fermi hole curvature parameter used recently by Stoll et al., by Colle and Salvetti and by Becke to estimate the size of the correlation hole, by Becke et al. to clarify aspects of chemical shell structure and bonding, and by Luken and Culbertson to discuss mobility of the Fermi hole. The first, more straightforward interpretation involves the number of "other'' electrons to be found in a small neighborhood near a given electron. The notion of other electrons leads naturally to correlation functionals which correctly vanish when only one electron is present. The second interpretation, made explicit by use of the Wigner pair distribution, involves the density of relative kinetic energy of pairs of spin-parallel electrons at point r. Since, in a classical interpretation at least, the correlation hole in a nonuniform Coulomb system depends both on density and relative kinetic energy of colliding pairs, one expects that both the Fermi hole curvature and the density should be significant in constructing theories of the correlation energy of such systems.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 8870-8872 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The Fermi hole curvature C(r,s) is defined as the Laplacian of the parallel-spin pair distribution, evaluated at zero separation r'=r for a pair of Fermions in a many-Fermion system. It has been used by a number of authors to discuss electron localization, properties of the exchange and correlation hole, and exchange and correlation energies of inhomogeneous electron gases. Here, the discussion of this quantity is extended in two directions. First, for the special case of a single-determinant many-electron state, it is shown that a previously derived macroscopic expression for C can be generalized in a simple fashion to apply to current-carrying states. Second, it is shown that a recently given interpretation of C(r,s), in terms of relative kinetic energy of pairs, is valid for a general many-Fermion state and is not limited to the single-determinant case investigated previously.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 18 (1975), S. 13-30 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: The Landau-Silin equation for spin waves in the conduction electron Fermi liquid is shown to give rise to a surface mode if the normal component of spin current is assumed to vanish at the surface. The new mode has an interesting one-way characteristic for propagation perpendicular to a surface-directed dc magnetic field. An experiment is proposed which may permit direct observation of the surface modes. Standing surface waves are suggested to be the cause of the anomalous dependence of experimental CESR lineshapes on dc magnetic field orientation.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 69 (1998), S. 615-618 
    ISSN: 0020-7608
    Keywords: van der Waals interaction ; dispersion forces ; seamless vdW density functional ; density-density susceptibility ; exchange-correlation energy ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The van der Waals (vdW) or dispersion interaction between distant sections of a molecular or condensed matter system contributes part of the correlation energy. This dispersion part is missed, or is given at best unreliably, by the usual local and gradient functionals for the exchange-correlation energy. Here we discuss various quasi-local schemes which are expected to provide good vdW energies using only a knowledge of the ground-state electron density n(r). The general scheme proposed is “seamless,” i.e., it remains valid whether or not the subsystems involved have significant overlap of electronic density. Perturbative expansion of this scheme, followed by a doubly local density approximation, yields a simple vdW scheme proposed independently by Andersson et al. and by Dobson and Dinte, which is also similar to a scheme of Rapcewicz and Ashcroft. These simpler schemes cannot deal with overlap between the electron clouds. Progress is reported on the full seamless scheme which deals with the more challenging case where overlap is present. All of the present schemes yield the classic dipolar “van der Waals” 1/R6 energy when the separation R sufficiently exceeds the individual system dimensions. None is restricted to this case, however.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 69: 615-618, 1998
    Type of Medium: Electronic Resource
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