Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator
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چکیده
منابع مشابه
Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator
The first aim of this paper is to extend the Skinner-Rusk formalism on classical mechanics for first-order field theories. The second is to generalize the definition and properties of the evolution K-operator on classical mechanics for first-order field theories using in both cases Günther’s formalism (k-symplectic formalism). M.S. Classification (2000): 70S05, 53D05, 53Z05
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The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified by giving an extension of the Skinner-Rusk formulation on classical mechanics for first-order field theories. M.S. Classification (2000): 70S05, 53D05, 53Z05
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2005
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1876872