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  • Springer  (2)
  • American Chemical Society (ACS)
  • 1975-1979  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Foundations of physics 7 (1977), S. 129-136 
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Gauss-Hertz principle is extended by the use of existence conditions (or constraints) to obtain a hierarchy of differential equations which include all classical equations of continuum mechanics (including electrodynamics) and the harmonic oscillator potential as well.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Foundations of physics 8 (1978), S. 359-370 
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The continuum form of the Gauss-Hertz principle is extended to include the time domain as well as space. The Schrödinger equation and general relativity are derived by this method. The equivalence of the principle is shown to that of the Hamiltonian method where the energy is the expression −[φ∇ 2 φ+A·∇2 A], with φ being the difference between the acceleration potential and potential energy density, andA being the difference between the vector potentials of the acceleration field and the force field. The goal of Hertz to “demonstrate a third arrangement of the principles of mechanics...which starts with... time, space and mass” has apparently been achieved for relativity and for quantum mechanics, in addition to those classical equations previously found.
    Type of Medium: Electronic Resource
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