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IHEP 96 - 86
(In Russian) | |
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| V.O. Solovev | ||
| On the Difference between Admissible and "Differentiable" Hamiltonians | ||
| Protvino, 1996.- p.9, refs.:22. | ||
It is shown that the Regge-Teitelboim criterion for fixing the unique boundary contribution to the Hamiltonian which is 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, such 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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