The Kepler Problem and Noncommutativity
نویسندگان
چکیده
منابع مشابه
The Kepler problem and non commutativity Juan
We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of 10m gives observable corrections to the movement of the solar system. In this way, modifications in the physics of smaller scales implies modifications at large scales, something similar to the UV/IR...
متن کاملReduction and unfolding: the Kepler problem
In this paper we show, in a systematic way, how to relate the Kepler problem to the isotropic harmonic oscillator. Unlike previous approaches, our constructions are carried over in the Lagrangian formalism dealing, with second order vector fields. We therefore provide a tangent bundle version of the Kustaanheimo-Stiefel map.
متن کاملThe Kepler Problem: Orbit Cones and Cylinders
Planetary orbits, being conic sections, may be obtained as the locus of intersection of planes and cones. The planes involved are familiar to anyone who has studied the classical Kepler problem. We focus here on the cones.
متن کاملThe Kepler Problem with Anisotropic Perturbations
We study a 2-body problem given by the sum of the Newtonian potential and an anisotropic perturbation that is a homogeneous function of degree −β, β ≥ 2. For β > 2, the sets of initial conditions leading to collisions/ejections and the one leading to escapes/captures have positive measure. For β > 2 and β 6= 3, the flow on the zero-energy manifold is chaotic. For β = 2, a case we prove integrab...
متن کاملA Generalization of the Kepler Problem
We construct and analyze a generalization of the Kepler problem. These generalized Kepler problems are parameterized by a triple (D, κ, μ) where the dimension D ≥ 3 is an integer, the curvature κ is a real number, the magnetic charge μ is a half integer if D is odd and is 0 or 1/2 if D is even. The key to construct these generalized Kepler problems is the observation that the Young powers of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2003
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732303011472