First Order Actions: a New View

We analyse systems described by first order actions using the Hamilton-Jacobi (HJ) formalism for singular systems. In this study we verify that generalized brackets appear in a natural way in HJ approach, showing us the existence of a symplectic structure in the phase spaces of this formalism

Hamilton - Jacobi treatment of front-form Schwinger model

The Hamilton-Jacobi formalism was applied to quantize the front-form Schwinger model. The importance of the surface term is discussed in detail. The BRST-anti-BRST symmetry was analyzed within Hamilton-Jacobi formalism.Comment: 11 pages, to be published in Int. Journ. Mod. Phys.

Elliptic Elements of a Subgroup of the Normalizer and Circuits in Orbital Graphs

In this study, we investigate suborbital graphs G_{u, N} of the normalizer Gamma_B(N) of Gamma_0(N) in PSL(2, R) for N = 2^{alpha} 3^{beta} \u3e 1 where alpha = 0, 2, 4, 6, and beta = 0, 2. In these cases the normalizer becomes a triangular group. We first define an imprimitive action of Gamma_B (N) on ^Q using the group Gamma^0_C (N) and then obtain some properties of the suborbital graphs arising from this action. Finally we define suborbital graphs F_{u;N} and investigate their properties. As a consequence, we find some certain relationships between the lengths of circuits in suborbital graphs F_{u;N} and the periods of the group Gamma^0_C (N)

Hamilton-Jacobi quantization of singular Lagrangians with linear velocities

In this paper, constrained Hamiltonian systems with linear velocities are investigated by using the Hamilton-Jacobi method. We shall consider the integrablity conditions on the equations of motion and the action function as well in order to obtain the path integral quantization of singular Lagrangians with linear velocities.Comment: late

Multi Hamilton-Jacobi quantization of O(3) nonlinear sigma model

The O(3) non-linear sigma model is investigated using multi Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method. By choosing an adequate extension of phase space we describe the transformed system by a set of three Hamilton-Jacobi equations and calculate the corresponding action.Comment: 10 pages, LaTeX, to be published in Mod. Phys. Lett.

Hamilton-Jacobi treatment of a non-relativistic particle on a curved space

In this paper a non-relativistic particle moving on a hypersurface in a curved space and the multidimensional rotator are investigated using the Hamilton-Jacobi formalism. The equivalence with the Dirac Hamiltonian formalism is demonstrated in both Cartesian and curvilinear coordinates. The energy spectrum of the multidimensional rotator is equal to that of a pure Laplace-Beltrami operator with no additional constant arising from the curvature of the sphere.Comment: 10 pages, LaTe

Mesh update techniques for free-surface flow solvers using spectral element method

This paper presents a novel mesh-update technique for unsteady free-surface Newtonian flows using spectral element method and relying on the arbitrary Lagrangian--Eulerian kinematic description for moving the grid. Selected results showing compatibility of this mesh-update technique with spectral element method are given