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  • 1990-1994  (3)
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Material
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Year
  • 1
    Electronic Resource
    Electronic Resource
    Dilation currents (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 2765-2767 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The conserved currents related to conformal Killing vectors are analyzed. By considering the dilation generator of Minkowski space-time, with the assumption that fields are static, arrived at is what is often known as the relativistic virial theorem. The application of this result to force-free electromagnetic fields is discussed, and the result is shown how it can rule out particlelike solutions to certain field theories.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529545
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A unified description of null and non-null shear-free congruences (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 1796-1802 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A simple tensor equation is given that is satisfied by null vectors if and only if they are proportional to shear-free geodesics. Non-null vectors satisfy this equation if and only if they can be normalized to shear-free unit vectors. Thus this equation unifies the treatment of the null and non-null cases. Conformal properties of the shear-free condition and this tensor equation are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530571
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Surface integrals for electromagnetic energy (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 2936-2949 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The definition of electromagnetic field energy for systems with singular sources is considered. It is shown that whereas for an electrostatic system of point charges one can identify an interaction energy density that is integrable, no sensible improper integral can be defined for dipole, or higher-order multipole, sources. It is shown how force and torque density forms can be obtained by examining the field dependence of certain "potential forms.'' In the static case closed two-forms can be introduced that act as potentials for the force and torque two-forms. As these forms are constructed out of the fields in source-free regions singularities are avoided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530106
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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