11 research outputs found
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.
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
Unitary analytic representations of SL(3,R) and Regge trajectories.
Ph.D. - Doctoral Progra