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On the symplectic integration of Hamiltonian systems
(2018-07-30)
Os sistemas Hamiltonianos formam uma das classes mais importantes de equações diferenciais. Além de constituírem o formalismo central da física clássica, sua aplicação se estende a uma grande variedade de outros campos de ...
Canonical quantization of symplectic manifolds
(Universidad de los AndesMaestría en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2020)
Extending the method of De Wilde-Lecomte to symplectic DQ-algebroids we show that the quasi-classical limit functor completely determines a choice of a canonical quantization in a symplectic manifold.
Local physical coordinates from symplectic projector method
(World Scientific Publ Co Pte Ltd, 2001-09-21)
The basic arguments underlying the symplectic. projector method are presented. By this method, local free coordinates on the constraint surface can be obtained for a broader class of constrained systems. Some interesting ...
Local physical coordinates from symplectic projector method
(World Scientific Publ Co Pte Ltd, 2001-09-21)
The basic arguments underlying the symplectic. projector method are presented. By this method, local free coordinates on the constraint surface can be obtained for a broader class of constrained systems. Some interesting ...
Local physical coordinates from symplectic projector method
(World Scientific Publ Co Pte Ltd, 2014)
Symplectic actions on coadjoint orbits
(1990-12-01)
We present a compact expression for the field theoretical actions based on the symplectic analysis of coadjoint orbits of Lie groups. The final formula for the action density α c becomes a bilinear form 〈(S, 1/λ), (y, m ...
Symplectic actions on coadjoint orbits
(1990-12-01)
We present a compact expression for the field theoretical actions based on the symplectic analysis of coadjoint orbits of Lie groups. The final formula for the action density α c becomes a bilinear form 〈(S, 1/λ), (y, m ...
Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group
(American Institute of Physics, 2011-07)
We study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these spaces as fundamental Dirac brackets, ...