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19912026
Showing 2010 · math-phShow all

8 papers · 2 filters

math-ph2010★ 7 cited

Routh reduction for singular Lagrangians

Bavo Langerock, Marco Castrillón López

This paper concerns the Routh reduction procedure for Lagrangians systems with symmetry. It differs from the existing results on geometric Routh reduction in the fact that no regul…

math-ph2010★ 26 cited

Hamilton-Jacobi Theory in k-Symplectic Field Theories

M. De LeÓn, D. MartÍn De Diego, J. C. Marrero +2

In this paper we extend the geometric formalism of Hamilton-Jacobi theory for Mechanics to the case of classical field theories in the k-symplectic framework.

math-ph2010★ 4 cited

Constrained Variational Calculus for Higher Order Classical Field Theories

Cedric M. Campos, Manuel de Leon, David Martin de Diego

We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism…

math-ph2010

Hamiltonian Structure of Gauge-Invariant Variational Problems

Marco Castrillon Lopez, Jaime Munoz Masque

Let be the bundle of connections of a principal bundle on . The solutions to Hamilton-Cartan equations for a gauge-invariant Lagrangian density on satisfying a…

math-ph2010★ 2 cited

Fokker Planck Equation on Fractal Curves

Seema E. Satin, Abhay Parvate, A. D. Gangal

A Fokker Planck equation on fractal curves is obtained, starting from Chapmann-Kolmogorov equation on fractal curves. This is done using the recently developed calculus on fractals…

math-ph2010★ 59 cited

SU(N) Irreducible Schwinger Bosons

Manu Mathur, Indrakshi Raychowdhury, Ramesh Anishetty

We construct SU(N) irreducible Schwinger bosons satisfying certain U(N-1) constraints which implement the symmetries of SU(N) Young tableaues. As a result all SU(N) irreducible rep…

math-ph2010★ 2 cited

Reduced classical field theories. k-cosymplectic formalism on Lie algebroids

D. Martin de Diego, S. Vilariño

In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field theories on Lie algebroids in the framework of -cosymplectic geometry. We discus…

math-ph2010★ 73 cited

A unified framework for mechanics. Hamilton-Jacobi equation and applications

P. Balseiro, J. C. Marrero, D. Martin de Diego +1

In this paper, we construct Hamilton-Jacobi equations for a great variety of mechanical systems (nonholonomic systems subjected to linear or affine constraints, dissipative systems…