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  • Articles  (2)
  • Articles: DFG German National Licenses  (2)
  • American Institute of Physics (AIP)  (2)
  • 2015-2019
  • 1990-1994  (2)
  • 1993  (2)
  • Mathematics  (2)
  • Biology
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  • Articles  (2)
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  • Articles: DFG German National Licenses  (2)
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  • 2015-2019
  • 1990-1994  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Addendum to a dynamical formalism of singular Lagrangian system with higher derivatives (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 3775-3779 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A formulation for singular Lagrangians with higher derivatives in a previous paper is supplemented and a complete formulation of canonical theory for the systems is presented. It is shown that our previous formulation reproduces all constraints included in the Ostrogradski transformations, by using stationarity conditions of primary constraints. Secondarily, on the effect of adding a total time derivative term to a nonsingular Lagrangian with higher derivatives, the previous paper is revised so as to give a correct formulation for counting the numbers of first and second class constraints. It is concluded that the main part of our previous formulation needs no essential change.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530058
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Canonical formalism of action-at-a-distance electrodynamics and many-particle potential among charged particles (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 4655-4667 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The second post-Coulombian Lagrangian of Wheeler–Feynman electrodynamics for a many-particle system is treated according to a canonical formalism of a singular Lagrangian with higher derivatives. The canonical equations are given in terms of a reduced Hamiltonian with Dirac brackets, but they are transformed to be expressed in terms of ordinary Poisson brackets by redefinition of canonical variables. The reduced Hamiltonian includes a characteristic form of three-particle and four-particle potentials. Finally a direct pathway to the reduced Hamiltonian is presented via first-order formalism of the Maxwell theory with charged particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530363
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    Paper (German National Licenses)
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