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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Advances in applied Clifford algebras 10 (2000), S. 297-297 
    ISSN: 1661-4909
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Monatshefte für Chemie 106 (1975), S. 1429-1436 
    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.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 32 (1979), S. 281-286 
    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.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    International journal of theoretical physics 21 (1982), S. 829-836 
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Starting from the energy-momentum vector relationship for two observers, a multivector wave equation, which we call the full Dirac equation, is derived. It is shown to correspond to a series of symmetry constrained Dirac Fields with basic, repetitive,SU(5) structure. The consequences of the symmetry restrictions for the definition of charge, hypercharge, color, charm, etc, are discussed together with a description of the associated gauge fields.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    International journal of theoretical physics 23 (1984), S. 817-837 
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The important role of the operator γ5 in the physics of elementary particles and their interactions is considered basic in this paper where it is shown that it corresponds to the duality rotation in space-time and how the dual geometry can be used to consider new symmetries for the wave equations of particles and their interaction fields. The new set of symmetries is shown to exactly correspond to what is needed to find the known schemes of leptons and quarks and to be the origin of many of the properties which are found expermentally for these elementary particles.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    International journal of theoretical physics 25 (1986), S. 779-806 
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract One possible generalization of the Dirac “square root” procedure∂ μ ∂ μ=D d k D d is presented, based on the explicit introduction of chiral symmetry, which generates a set {d} of symmetry-constrained Dirac fieldsD d ψ d =0admitting isospin and color. A self-consistent discussion is given of the basic geometrical construction, the field equations, and their relationship to chiral symmetry, isospin, and color, and of the construction of the Lagrangian, including the interaction gauge fields. The correspondence of the theory with the standardSU c(3) ×SU w(2) ×U y(1) formulation for quarks and leptons is shown.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    International journal of theoretical physics 30 (1991), S. 137-184 
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract From the definition of spinors as the minimal left (right) modules of multivectors (that is, of vectors and their outer products), we can construct a unified mathematical approach for the study of matter and its interaction fields, which are either defined as fields in the geometrical spacetime or considered as generators of the physical spacetime. It is also shown how matter and interaction fields can be represented either by spinor fields or by multivector fields, both types of fields carrying the same information as the traditional corresponding spinors, vectors, or tensors. Geometry is more transparent in one representation (multivector form), and physics is more obvious in the spinor representation. Our theory provides a unified and totally self-consistent representation of quarks (barions), leptons, and all their known interactions.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    International journal of theoretical physics 30 (1991), S. 185-196 
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In vector spaces of dimensionn=p+q a multivector (Clifford) algebraC(p, q) can be constructed. In this paper a multivectorC(p, q) representation, riot restricted to the bivector subalgebraC 2(p, q), is developed for some of the Lie groups more frequently used in physics. This representation should be especially useful in the special cases of (grand) unified gauge field theories, where the groups used do not always have a simple tensor representation.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Hyperfine interactions 6 (1979), S. 43-46 
    ISSN: 1572-9540
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A model to study the local structure and geometry of condensed matter was applied to the lattice dilatation of Cu if a μ+ is implanted interstitially. The model system consists of a finite cluster of atoms embedded in the spherically symmetric part of the potential of the rest of the material. The calculations were calibrated with crystalline Cu using a cluster of 6 atoms and 0, 6 or a practical infinite number of layers around this central cluster. It is found that 6 layers are enough to deseribe the boundary conditions that the material imposes to the selected central cluster. Afterwards it was applied to a cluster of a central μ+ and 6 octahedrally disposed Cu. The equilibrium geometries, electronic configurations, electronic densities of states are presented and compared with μSR.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Hyperfine interactions 6 (1979), S. 439-442 
    ISSN: 1572-9540
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The isotopic change of the magnetic shielding for a μ+ in HBr is computed from first principles, using a cellular cluster multiple scattering method, for condensed matter, and for the free molecules. The isotope shift and the chemical shift in liquid Br2 is evaluated with the obtained eigenfunctions and eigenvalues using Ramsey formalism. The computed isotope chemical shifts are comparable with the results of breskman and Kanofsky and of Williams and the solvent effect has the correct sign and order of magnitude.
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