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  • Articles  (3)
  • Articles: DFG German National Licenses  (3)
  • American Institute of Physics (AIP)  (3)
  • 2015-2019
  • 1990-1994  (3)
  • 1993  (2)
  • 1990  (1)
  • Mathematics  (3)
  • Biology
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  • Articles  (3)
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  • Articles: DFG German National Licenses  (3)
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  • 2015-2019
  • 1990-1994  (3)
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  • 1993  (2)
  • 1990  (1)
  • 1992  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Classification of gauge groups in terms of algebraic structure of first class constraints (1990)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 2337-2344 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Properties of gauge transformations for singular Lagrangians are investigated to classify types of gauge groups. A general method of the classification is proposed based on properties of structure functions of the Poisson brackets (or the commutators) of first class constraints. A remarkable result is that the algebraic structure of the gauge group is essentially determined by the first class constraints of the final step of constraint series which are required successively from the stationarity conditions of the constraints. Owing to this consequence, the classification of gauge groups is made simple and transparent. The structure and property of the gauge group can be characterized in terms of the algebraic structure functions among the final step constraints and the number of the steps of the constraints series. The formulation proposed will give a clue to find new types of gauge groups.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528833
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    Paper (German National Licenses)
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  • 2
    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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  • 3
    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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