3 papers
math-ph2001
The Spherical Landau Problem
Cesar Castilho, Andre Penna-Firme
The magnetization for electrons on a two-dimensional sphere, under a spherically symmetrical normal magnetic field has been studied in the large field limit. This allows us to use…
math-ph2001
Collision Orbits for a Hill's Type Problem
Cesar Castilho
We study the planar problem of two satellites attracted by a center of force. Assuming that the center of mass of the two-satellite system is on a circular orbit around the center…
math-ph1999
The Motion of a Charged Particle on a Riemannian Surface Under a Non-Zero Magnetic Field
Cesar Castilho
In this paper we study the motion of a charged particle on a Riemannian surface under the influence of a positive magnetic field B. Using Moser's Twist Theorem and ideas from class…