A finite-dimensional canonical formalism in the classical field theory
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Abstract: (Springer)
A canonical formalism based on the geometrical approach to the calculus of variations is given. The notion of multi-phase space is introduced which enables to define whole the canonical structure (physical quantities, Poisson bracket, canonical fields) without use of functional derivatives. All definitions are of pure geometrical (finite dimensional) character.- axiomatic field theory
- group theory: lie
- conservation law
- model: statistical
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