nt - p h / 02 09 15 2 v 1 2 7 Se p 20 02 Heun Functions and the energy spectrum of a charged particle on a sphere under magnetic field and Coulomb force
نویسندگان
چکیده
We study the competitive action of magnetic field, Coulomb repulsion and space curvature on the motion of a charged particle. The three types of interaction are characterized by three basic lengths: lB the magnetic length, l0 the Bohr radius and R the radius of the sphere. The energy spectrum of the particle is found by solving a Schrödinger equation of the Heun type, using the technique of continued fractions. It displays a rich set of functioning regimes where ratios R l B and R l 0 take definite values.
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