ar X iv : h ep - t h / 01 11 01 4 v 2 1 5 M ar 2 00 2 Hamiltonian Frenet - Serret dynamics
نویسندگان
چکیده
The Hamiltonian formulation of the dynamics of a relativistic particle described by a higher-derivative action that depends both on the first and the second Frenet-Serret curvatures is considered from a geometrical perspective. We demonstrate how reparametrization covariant dynamical variables and their projections onto the Frenet-Serret frame can be exploited to provide not only a significant simplification of but also novel insights into the canonical analysis. The constraint algebra and the Hamiltonian equations of motion are written down and a geometrical interpretation is provided for the canonical variables.
منابع مشابه
ar X iv : h ep - t h / 01 05 04 0 v 2 7 N ov 2 00 1 Frenet - Serret dynamics
We consider the motion of a particle described by an action that is a functional of the Frenet-Serret [FS] curvatures associated with the embedding of its worldline in Minkowski space. We develop a theory of deformations tailored to the FS frame. Both the Euler-Lagrange equations and the physical invariants of the motion associated with the Poincaré symmetry of Minkowski space, the mass and the...
متن کاملar X iv : h ep - t h / 01 03 09 3 v 1 1 3 M ar 2 00 1 Physical Aspects of the Space - Time Torsion
متن کامل
ar X iv : h ep - t h / 01 03 00 5 v 2 2 2 M ar 2 00 1 1 Kähler geometry and SUSY mechanics
We present two examples of SUSY mechanics related with Kähler geometry. The first system is the N = 4 supersymmetric one-dimensional sigma-model proposed in hep-th/0101065. Another system is the N = 2 SUSY mechanics whose phase space is the external algebra of an arbitrary Kähler manifold. The relation of these models with antisymplectic geometry is discussed.
متن کاملar X iv : h ep - t h / 01 03 09 5 v 1 1 3 M ar 2 00 1 Pre - big bang in M - theory ∗
We discuss a simple cosmological model derived from M-theory. Three assumptions lead naturally to a pre-big bang scenario: (a) 11-dimensional supergravity describes the low-energy world; (b) non-gravitational fields live on a three-dimensional brane; and (c) asymptotically past triviality. Pac(s) numbers: 98.80.Bp, 04.65.+e, 98.80.Hw, 04.50.+h
متن کامل