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  • 1
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    Density Functional Theory (1983)
    Berlin ; Heidelberg : Springer
    Details
    ISBN: 9783540127215
    URL: http://www.springerlink.com/openurl.asp?genre=book&isbn=978-3-540-12721-5
    Language: English
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    E-BOOK
  • 2
    Electronic Resource
    Electronic Resource
    Stabilization of the local water structure due to oxygen or nitrogen molecules (1974)
    s.l. : American Chemical Society
    Journal of the American Chemical Society 96 (1974), S. 3746-3750 
    Details
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/ja00819a005
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  • 3
    Electronic Resource
    Electronic Resource
    Geometric superalgebra and the Dirac equation (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 161-170 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A unified mathematical approach to spinors and multivectors or superalgebra is constructed in a form useful to study the mathematical description of matter and its interaction fields. The formalism then encompasses both points of view: multivectors for the description of (space-time) geometry and the description of the integer spin, interaction fields, and spinor representations suitable for the description of half odd integer, matter fields. An application is made to study the change of the Dirac equation under the spinors to multivectors (to scalars) mapping. The physical and geometric content of the multivector solutions of the Dirac–Hestenes equation is clearly shown.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529955
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  • 4
    Electronic Resource
    Electronic Resource
    A multivectorial Dirac equation (1990)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 2501-2510 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The multivectorial generalization of the Cartan map, for C(1,3) space-time Clifford algebra and an arbitrary gauge group in an isotopic space, is applied to the standard Dirac equation to generate the multivectorial Dirac equation. Using both geometrical and physical reasoning, a particular case discussed by Reifler and Morris [J. Math. Phys. 26, 2059 (1985)] is projected from the general multivectorial Dirac equation, to discuss the properties and limitations associated to their quaternion model. The use of the general multivectorial Dirac equation, which can be defined on any space-time manifold, is also illustrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528994
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  • 5
    Electronic Resource
    Electronic Resource
    Multivectorial generalization of the Cartan map (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1591-1598 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A multivectorial generalization of the spinors to vectors Cartan map is constructed, with space-time as a base space, constructed from spinors (Dirac spinors and spinors pairs being particular cases) onto a multivector space with two internal symmetries: one of them is the fundamental space-time Clifford group C(1,3) and the other an "isotopic space'' (in multivectorial representation) related with the more common gauge groups. The algebraic properties of this map and of the operators representing observables are studied. The inversion map is also presented. The quaternion projection of the map is shown as are its properties and its mathematical and physical meaning. The procedure presented here is compared with other spinor-vector maps used in the literature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529271
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  • 6
    Electronic Resource
    Electronic Resource
    Effect on the water/air surface tension of air diffusion and interface structuring (1976)
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 80 (1976), S. 1941-1948 
    Details
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/j100558a028
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  • 7
    Electronic Resource
    Electronic Resource
    A symmetry of massless fields (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 4320-4332 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is proved that there exists an additional intrinsic symmetry in the left-handed and right-handed fermions (and other fields). The corresponding group of transformations is induced by the Poincaré translations in the space–time manifold. This symmetry predicts an additional intrinsic energy-momentum for fermions. Considering this symmetry as local leads to introduction of a gauge field and of a nonintegrable phase angle, the corresponding Berry-type phase depends on the topology of the Riemannian space–time manifold as determined by the vierbein. This additional symmetry provides us with the possibility of considering the fermions as gauge fields on the nonvector bundle. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531657
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  • 8
    Electronic Resource
    Electronic Resource
    THEORY OF THE ELECTRON (2000)
    Springer
    Advances in applied Clifford algebras 10 (2000), S. 297-297 
    Details
    ISSN: 1661-4909
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s00006-000-0009-8
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  • 9
    Electronic Resource
    Electronic Resource
    Zum Problem der theoretischen Beschreibung von Oberflächen (1975)
    Springer
    Monatshefte für Chemie 106 (1975), S. 1429-1436 
    Details
    ISSN: 1434-4475
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Local models for a graphite and a fcc iron surface are discussed in terms of density of states functions for surface clusters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00913618
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  • 10
    Electronic Resource
    Electronic Resource
    Electronic structure of cubic uranium compounds (1979)
    Springer
    The European physical journal 32 (1979), S. 281-286 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Self-consistent cellular multiple scattering techniques and photoemission energy distribution curves obtained at 20〈hv〈80 eV are used to study the density of states of UN and US. The calculations are based on a model using a finite cluster of atoms in a condensed-matter-like boundary potential. The main results refer to the mixing of thes, p, d, andf-states of uranium into a valence and a conduction band. Thef-states form orbitals with the ligands, within the valence and conduction bands. In the nitride the amount off character in the valence band is only 0.3 electrons and thef electrons are in two resonant levels (of each spin) in the conduction band. Only the first of these levels is occupied for the local, alternate from atom to atom, majority spin. In the sulfide the amount off character in the valence band is 0.59 electrons and the rest of thef-levels are in a resonance state (of majority spin) at the beginning of the conduction band. The conduction band is mainly of localized uranium 6d character. The theoretical results compare favorably with the photoemission data reported here.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01351505
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