On the Difference between Admissible and "Differentiable" Hamiltonians

Details On the Difference between Admissible and "Differentiable" Hamiltonians On the Difference between Admissible and "Differentiable" Hamiltonians

1996-11-25

arxiv.org/abs/hep-th/9611212v1

Phys.Rev.D55:7973-7976,1997

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex, version.sty is used to include both English and Russian (KOI-8) equivalent texts, English is the default

Scientific paper

10.1103/PhysRevD.55.7973

It is shown that the Regge-Teitelboim criterion for fixing the unique boundary contribution to the Hamiltonian compatible with free boundary conditions should be modified if the Poisson structure is noncanonical. The new criterion requires cancellation of boundary contributions to the Hamiltonian equations of motion. In the same time, boundary contributions to the variation of Hamiltonian are allowed. The Ashtekar formalism for gravity and hydrodynamics of the ideal fluid with a free surface in the Clebsch variables are treated as examples.

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